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100461372 = 223114716193
BaseRepresentation
bin1011111110011…
…10101100111100
321000000222002120
411333032230330
5201204230442
613545122540
72326623204
oct577165474
9230028076
10100461372
1151787130
1229789450
1317a757cb
14d4b1404
158c464ec
hex5fceb3c

100461372 has 48 divisors (see below), whose sum is σ = 261176832. Its totient is φ = 29793280.

The previous prime is 100461353. The next prime is 100461409. The reversal of 100461372 is 273164001.

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, 1893 + ... + 14300.

It is an arithmetic number, because the mean of its divisors is an integer number (5441184).

Almost surely, 2100461372 is an apocalyptic number.

100461372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100461372 is an abundant number, since it is smaller than the sum of its proper divisors (160715460).

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

100461372 is a wasteful number, since it uses less digits than its factorization.

100461372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16258 (or 16256 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 100461372 is about 10023.0420531892. The cubic root of 100461372 is about 464.8716213991.

The spelling of 100461372 in words is "one hundred million, four hundred sixty-one thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 47 66 94 132 141 188 282 517 564 1034 1551 2068 3102 6204 16193 32386 48579 64772 97158 178123 194316 356246 534369 712492 761071 1068738 1522142 2137476 2283213 3044284 4566426 8371781 9132852 16743562 25115343 33487124 50230686 100461372