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1453869840 = 243541712081
BaseRepresentation
bin101011010101000…
…0100101100010000
310202022201020111010
41112222010230100
510434142313330
6400133250520
751012455403
oct12652045420
93668636433
101453869840
11686742a25
12346a93a40
131a2290417
14db135d3a
15879863b0
hex56a84b10

1453869840 has 160 divisors (see below), whose sum is σ = 4684200192. Its totient is φ = 372736000.

The previous prime is 1453869839. The next prime is 1453869841. The reversal of 1453869840 is 489683541.

It is an interprime number because it is at equal distance from previous prime (1453869839) and next prime (1453869841).

It is a super-2 number, since 2×14538698402 = 4227475023323251200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1453869840.

It is not an unprimeable number, because it can be changed into a prime (1453869841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 697600 + ... + 699680.

Almost surely, 21453869840 is an apocalyptic number.

1453869840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1453869840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2342100096).

1453869840 is an abundant number, since it is smaller than the sum of its proper divisors (3230330352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1453869840 is a wasteful number, since it uses less digits than its factorization.

1453869840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2209 (or 2203 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 1453869840 is about 38129.6451596392. The cubic root of 1453869840 is about 1132.8572171577.

The spelling of 1453869840 in words is "one billion, four hundred fifty-three million, eight hundred sixty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 71 80 82 120 123 142 164 205 213 240 246 284 328 355 410 426 492 568 615 656 710 820 852 984 1065 1136 1230 1420 1640 1704 1968 2081 2130 2460 2840 2911 3280 3408 4162 4260 4920 5680 5822 6243 8324 8520 8733 9840 10405 11644 12486 14555 16648 17040 17466 20810 23288 24972 29110 31215 33296 34932 41620 43665 46576 49944 58220 62430 69864 83240 85321 87330 99888 116440 124860 139728 147751 166480 170642 174660 232880 249720 255963 295502 341284 349320 426605 443253 499440 511926 591004 682568 698640 738755 853210 886506 1023852 1182008 1279815 1365136 1477510 1706420 1773012 2047704 2216265 2364016 2559630 2955020 3412840 3546024 4095408 4432530 5119260 5910040 6057791 6825680 7092048 8865060 10238520 11820080 12115582 17730120 18173373 20477040 24231164 30288955 35460240 36346746 48462328 60577910 72693492 90866865 96924656 121155820 145386984 181733730 242311640 290773968 363467460 484623280 726934920 1453869840