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100153712 = 24191073079
BaseRepresentation
bin1011111100000…
…11100101110000
320222110100001202
411332003211300
5201114404322
613534350332
72324202221
oct576034560
9228410052
10100153712
1151596a6a
122965b3a8
1317998769
14d431248
158bd5292
hex5f83970

100153712 has 40 divisors (see below), whose sum is σ = 206236800. Its totient is φ = 46982592.

The previous prime is 100153687. The next prime is 100153723. The reversal of 100153712 is 217351001.

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, 30989 + ... + 34067.

It is an arithmetic number, because the mean of its divisors is an integer number (5155920).

Almost surely, 2100153712 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 100153712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103118400).

100153712 is an abundant number, since it is smaller than the sum of its proper divisors (106083088).

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

100153712 is a wasteful number, since it uses less digits than its factorization.

100153712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3213 (or 3207 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 20.

The square root of 100153712 is about 10007.6826488453. The cubic root of 100153712 is about 464.3965842455.

The spelling of 100153712 in words is "one hundred million, one hundred fifty-three thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 19 38 76 107 152 214 304 428 856 1712 2033 3079 4066 6158 8132 12316 16264 24632 32528 49264 58501 117002 234004 329453 468008 658906 936016 1317812 2635624 5271248 6259607 12519214 25038428 50076856 100153712