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100063980 = 22325631881
BaseRepresentation
bin1011111011011…
…01101011101100
320222021202222100
411331231223230
5201104021410
613532415100
72323346502
oct575555354
9228252870
10100063980
1151535605
1229617490
1317966973
14d40a672
158bb88c0
hex5f6daec

100063980 has 72 divisors (see below), whose sum is σ = 304353504. Its totient is φ = 26611200.

The previous prime is 100063979. The next prime is 100063981. The reversal of 100063980 is 89360001.

It is an interprime number because it is at equal distance from previous prime (100063979) and next prime (100063981).

It is not an unprimeable number, because it can be changed into a prime (100063981) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113140 + ... + 114020.

It is an arithmetic number, because the mean of its divisors is an integer number (4227132).

Almost surely, 2100063980 is an apocalyptic number.

100063980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100063980 is an abundant number, since it is smaller than the sum of its proper divisors (204289524).

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

100063980 is a wasteful number, since it uses less digits than its factorization.

100063980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 100063980 is about 10003.1984884836. The cubic root of 100063980 is about 464.2578518755.

It can be divided in two parts, 1000 and 63980, that added together give a triangular number (64980 = T360).

The spelling of 100063980 in words is "one hundred million, sixty-three thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 631 881 1262 1762 1893 2524 2643 3155 3524 3786 4405 5286 5679 6310 7572 7929 8810 9465 10572 11358 12620 13215 15858 17620 18930 22716 26430 28395 31716 37860 39645 52860 56790 79290 113580 158580 555911 1111822 1667733 2223644 2779555 3335466 5003199 5559110 6670932 8338665 10006398 11118220 16677330 20012796 25015995 33354660 50031990 100063980