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105397440 = 2635109789
BaseRepresentation
bin1100100100000…
…11110011000000
321100022202002220
412102003303000
5203440204230
614243011040
72416602111
oct622036300
9240282086
10105397440
1154548725
122b369a80
1318ab3465
14ddd8208
1593bdd10
hex6483cc0

105397440 has 56 divisors (see below), whose sum is σ = 334639920. Its totient is φ = 28105728.

The previous prime is 105397421. The next prime is 105397463. The reversal of 105397440 is 44793501.

It is a super-2 number, since 2×1053974402 = 22217240717107200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53935 + ... + 55854.

Almost surely, 2105397440 is an apocalyptic number.

105397440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105397440 is an abundant number, since it is smaller than the sum of its proper divisors (229242480).

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

105397440 is a wasteful number, since it uses less digits than its factorization.

105397440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109809 (or 109799 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 105397440 is about 10266.3255354581. The cubic root of 105397440 is about 472.3638867755.

The spelling of 105397440 in words is "one hundred five million, three hundred ninety-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 109789 219578 329367 439156 548945 658734 878312 1097890 1317468 1646835 1756624 2195780 2634936 3293670 3513248 4391560 5269872 6587340 7026496 8783120 10539744 13174680 17566240 21079488 26349360 35132480 52698720 105397440