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100917620 = 2255045881
BaseRepresentation
bin1100000001111…
…10000101110100
321000220010221122
412000332011310
5201313330440
614003003112
72333533316
oct600760564
9230803848
10100917620
1151a689a1
1229969498
1317ba538b
14d58d7b6
158cd67b5
hex603e174

100917620 has 12 divisors (see below), whose sum is σ = 211927044. Its totient is φ = 40367040.

The previous prime is 100917613. The next prime is 100917623. The reversal of 100917620 is 26719001.

It can be written as a sum of positive squares in 2 ways, for example, as 19412836 + 81504784 = 4406^2 + 9028^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 100917620.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100917623) 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, 2522921 + ... + 2522960.

It is an arithmetic number, because the mean of its divisors is an integer number (17660587).

Almost surely, 2100917620 is an apocalyptic number.

100917620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100917620 is an abundant number, since it is smaller than the sum of its proper divisors (111009424).

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

100917620 is a wasteful number, since it uses less digits than its factorization.

100917620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5045890 (or 5045888 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 26.

The square root of 100917620 is about 10045.7762268528. The cubic root of 100917620 is about 465.5743010126.

The spelling of 100917620 in words is "one hundred million, nine hundred seventeen thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 5045881 10091762 20183524 25229405 50458810 100917620