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100997376 = 283131507
BaseRepresentation
bin1100000010100…
…01100100000000
321001001012100120
412001101210000
5201323404001
614004420240
72334314664
oct601214400
9231035316
10100997376
1152012907
12299a7680
1317c0277c
14d5b08a4
158d00236
hex6051900

100997376 has 36 divisors (see below), whose sum is σ = 268802352. Its totient is φ = 33665536.

The previous prime is 100997333. The next prime is 100997387. The reversal of 100997376 is 673799001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 64986 + ... + 66521.

It is an arithmetic number, because the mean of its divisors is an integer number (7466732).

Almost surely, 2100997376 is an apocalyptic number.

100997376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100997376 is an abundant number, since it is smaller than the sum of its proper divisors (167804976).

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

100997376 is an equidigital number, since it uses as much as digits as its factorization.

100997376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131526 (or 131512 counting only the distinct ones).

The product of its (nonzero) digits is 71442, while the sum is 42.

The square root of 100997376 is about 10049.7450713936. The cubic root of 100997376 is about 465.6969177445.

The spelling of 100997376 in words is "one hundred million, nine hundred ninety-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 131507 263014 394521 526028 789042 1052056 1578084 2104112 3156168 4208224 6312336 8416448 12624672 16832896 25249344 33665792 50498688 100997376