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14557440 = 283517223
BaseRepresentation
bin110111100010…
…000100000000
31000101121001110
4313202010000
512211314230
61240003320
7234510342
oct67420400
930347043
1014557440
118243247
124a60540
133029091
141d0d292
1514284b0
hexde2100

14557440 has 144 divisors (see below), whose sum is σ = 49448448. Its totient is φ = 3637248.

The previous prime is 14557421. The next prime is 14557471. The reversal of 14557440 is 4475541.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14557398 and 14557407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65169 + ... + 65391.

It is an arithmetic number, because the mean of its divisors is an integer number (343392).

Almost surely, 214557440 is an apocalyptic number.

14557440 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 14557440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24724224).

14557440 is an abundant number, since it is smaller than the sum of its proper divisors (34891008).

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

14557440 is a wasteful number, since it uses less digits than its factorization.

14557440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 30.

The square root of 14557440 is about 3815.4213397736. The cubic root of 14557440 is about 244.1715178531.

The spelling of 14557440 in words is "fourteen million, five hundred fifty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 223 240 255 256 272 320 340 384 408 446 480 510 544 640 669 680 768 816 892 960 1020 1088 1115 1280 1338 1360 1632 1784 1920 2040 2176 2230 2676 2720 3264 3345 3568 3791 3840 4080 4352 4460 5352 5440 6528 6690 7136 7582 8160 8920 10704 10880 11373 13056 13380 14272 15164 16320 17840 18955 21408 21760 22746 26760 28544 30328 32640 35680 37910 42816 45492 53520 56865 57088 60656 65280 71360 75820 85632 90984 107040 113730 121312 142720 151640 171264 181968 214080 227460 242624 285440 303280 363936 428160 454920 485248 606560 727872 856320 909840 970496 1213120 1455744 1819680 2426240 2911488 3639360 4852480 7278720 14557440