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1453243120 = 245719731871
BaseRepresentation
bin101011010011110…
…1011101011110000
310202021112101210021
41112213223223300
510434012234440
6400112013224
751004235260
oct12647535360
93667471707
101453243120
1168635507a
12346831214
131a2101094
14db0117a0
15878b084a
hex569ebaf0

1453243120 has 160 divisors (see below), whose sum is σ = 4122593280. Its totient is φ = 465315840.

The previous prime is 1453243111. The next prime is 1453243153. The reversal of 1453243120 is 213423541.

It is a super-2 number, since 2×14532431202 = 4223831131654668800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 775785 + ... + 777655.

It is an arithmetic number, because the mean of its divisors is an integer number (25766208).

Almost surely, 21453243120 is an apocalyptic number.

1453243120 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 1453243120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2061296640).

1453243120 is an abundant number, since it is smaller than the sum of its proper divisors (2669350160).

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

1453243120 is a wasteful number, since it uses less digits than its factorization.

1453243120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1983 (or 1977 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 1453243120 is about 38121.4259964131. The cubic root of 1453243120 is about 1132.6944134234.

Adding to 1453243120 its reverse (213423541), we get a palindrome (1666666661).

The spelling of 1453243120 in words is "one billion, four hundred fifty-three million, two hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 73 76 80 95 112 133 140 146 152 190 266 280 292 304 365 380 511 532 560 584 665 730 760 1022 1064 1168 1330 1387 1460 1520 1871 2044 2128 2555 2660 2774 2920 3742 4088 5110 5320 5548 5840 6935 7484 8176 9355 9709 10220 10640 11096 13097 13870 14968 18710 19418 20440 22192 26194 27740 29936 35549 37420 38836 40880 48545 52388 55480 65485 71098 74840 77672 97090 104776 110960 130970 136583 142196 149680 155344 177745 194180 209552 248843 261940 273166 284392 355490 388360 497686 523880 546332 568784 682915 710980 776720 956081 995372 1047760 1092664 1244215 1365830 1421960 1912162 1990744 2185328 2488430 2595077 2731660 2843920 3824324 3981488 4780405 4976860 5190154 5463320 7648648 9560810 9953720 10380308 10926640 12975385 15297296 18165539 19121620 19907440 20760616 25950770 36331078 38243240 41521232 51901540 72662156 76486480 90827695 103803080 145324312 181655390 207606160 290648624 363310780 726621560 1453243120