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100232672 = 2531791279
BaseRepresentation
bin1011111100101…
…10110111100000
320222121100101012
411332112313200
5201124421142
613540200052
72324651351
oct576266740
9228540335
10100232672
1151640321
1229699028
13179c5697
14d451d28
158bed882
hex5f96de0

100232672 has 48 divisors (see below), whose sum is σ = 206438400. Its totient is φ = 47848320.

The previous prime is 100232669. The next prime is 100232683. The reversal of 100232672 is 276232001.

It is a congruent number.

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, 77729 + ... + 79007.

It is an arithmetic number, because the mean of its divisors is an integer number (4300800).

Almost surely, 2100232672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100232672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103219200).

100232672 is an abundant number, since it is smaller than the sum of its proper divisors (106205728).

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

100232672 is a wasteful number, since it uses less digits than its factorization.

100232672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 100232672 is about 10011.6268408286. The cubic root of 100232672 is about 464.5185937759.

Adding to 100232672 its reverse (276232001), we get a palindrome (376464673).

The spelling of 100232672 in words is "one hundred million, two hundred thirty-two thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 31 32 62 79 124 158 248 316 496 632 992 1264 1279 2449 2528 2558 4898 5116 9796 10232 19592 20464 39184 39649 40928 78368 79298 101041 158596 202082 317192 404164 634384 808328 1268768 1616656 3132271 3233312 6264542 12529084 25058168 50116336 100232672