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100290944 = 271360271
BaseRepresentation
bin1011111101001…
…01000110000000
320222201022022102
411332211012000
5201133302234
613541325532
72325313265
oct576450600
9228638272
10100290944
1151680086
12297068a8
1317a16070
14d46926c
158c10c7e
hex5fa5180

100290944 has 32 divisors (see below), whose sum is σ = 215171040. Its totient is φ = 46287360.

The previous prime is 100290943. The next prime is 100290959. The reversal of 100290944 is 449092001.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×1002909442 = 20116546896822272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100290941) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28472 + ... + 31799.

It is an arithmetic number, because the mean of its divisors is an integer number (6724095).

Almost surely, 2100290944 is an apocalyptic number.

It is an amenable number.

100290944 is an abundant number, since it is smaller than the sum of its proper divisors (114880096).

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

100290944 is an equidigital number, since it uses as much as digits as its factorization.

100290944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60298 (or 60286 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 100290944 is about 10014.5366343131. The cubic root of 100290944 is about 464.6085949804.

The spelling of 100290944 in words is "one hundred million, two hundred ninety thousand, nine hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 60271 120542 241084 482168 783523 964336 1567046 1928672 3134092 3857344 6268184 7714688 12536368 25072736 50145472 100290944