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100476940 = 22519793347
BaseRepresentation
bin1011111110100…
…10100000001100
321000001202110011
411333102200030
5201210230230
613545323004
72330016454
oct577224014
9230052404
10100476940
11517978a3
1229796464
1317a7c915
14d4b6d64
158c4ae2a
hex5fd280c

100476940 has 48 divisors (see below), whose sum is σ = 224985600. Its totient is φ = 37582272.

The previous prime is 100476931. The next prime is 100476979. The reversal of 100476940 is 49674001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28347 + ... + 31693.

It is an arithmetic number, because the mean of its divisors is an integer number (4687200).

Almost surely, 2100476940 is an apocalyptic number.

100476940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100476940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112492800).

100476940 is an abundant number, since it is smaller than the sum of its proper divisors (124508660).

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

100476940 is a wasteful number, since it uses less digits than its factorization.

100476940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3454 (or 3452 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 100476940 is about 10023.8186336346. The cubic root of 100476940 is about 464.8956331078.

The spelling of 100476940 in words is "one hundred million, four hundred seventy-six thousand, nine hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 79 95 158 190 316 380 395 790 1501 1580 3002 3347 6004 6694 7505 13388 15010 16735 30020 33470 63593 66940 127186 254372 264413 317965 528826 635930 1057652 1271860 1322065 2644130 5023847 5288260 10047694 20095388 25119235 50238470 100476940