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100071620 = 225112319777
BaseRepresentation
bin1011111011011…
…11100011000100
320222022011110022
411331233203010
5201104242440
613532514312
72323410665
oct575574304
9228264408
10100071620
1151540320
122961b998
131796a29c
14d40d36c
158bbacb5
hex5f6f8c4

100071620 has 48 divisors (see below), whose sum is σ = 239234688. Its totient is φ = 34805760.

The previous prime is 100071599. The next prime is 100071623. The reversal of 100071620 is 26170001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (100071623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4829 + ... + 14948.

It is an arithmetic number, because the mean of its divisors is an integer number (4984056).

Almost surely, 2100071620 is an apocalyptic number.

100071620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100071620 is an abundant number, since it is smaller than the sum of its proper divisors (139163068).

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

100071620 is a wasteful number, since it uses less digits than its factorization.

100071620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19820 (or 19818 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 100071620 is about 10003.5803590515. The cubic root of 100071620 is about 464.2696671151.

The spelling of 100071620 in words is "one hundred million, seventy-one thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 1012 1265 2530 5060 19777 39554 79108 98885 197770 217547 395540 435094 454871 870188 909742 1087735 1819484 2175470 2274355 4350940 4548710 5003581 9097420 10007162 20014324 25017905 50035810 100071620