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100076076 = 22321729619
BaseRepresentation
bin1011111011100…
…00101000101100
320222022101120100
411331300220230
5201104413301
613532551100
72323426662
oct575605054
9228271510
10100076076
1151543701
1229622490
131796c319
14d410c32
158bbc286
hex5f70a2c

100076076 has 54 divisors (see below), whose sum is σ = 268753940. Its totient is φ = 31393152.

The previous prime is 100076023. The next prime is 100076089. The reversal of 100076076 is 670670001.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5595 + ... + 15213.

Almost surely, 2100076076 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 100076076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134376970).

100076076 is an abundant number, since it is smaller than the sum of its proper divisors (168677864).

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

100076076 is a wasteful number, since it uses less digits than its factorization.

100076076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9663 (or 9641 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 100076076 is about 10003.8030768303. The cubic root of 100076076 is about 464.2765580296.

The spelling of 100076076 in words is "one hundred million, seventy-six thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 578 612 867 1156 1734 2601 3468 5202 9619 10404 19238 28857 38476 57714 86571 115428 163523 173142 327046 346284 490569 654092 981138 1471707 1962276 2779891 2943414 5559782 5886828 8339673 11119564 16679346 25019019 33358692 50038038 100076076