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100587942 = 23271361409
BaseRepresentation
bin1011111111011…
…01100110100110
321000021101201100
411333231212212
5201222303232
613551540530
72330661210
oct577554646
9230241640
10100587942
1151863234
122982a746
1317abb2c0
14d5055b0
158c6dc7c
hex5fed9a6

100587942 has 48 divisors (see below), whose sum is σ = 268238880. Its totient is φ = 26528256.

The previous prime is 100587923. The next prime is 100587953. The reversal of 100587942 is 249785001.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 100587897 and 100587906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29067 + ... + 32342.

It is an arithmetic number, because the mean of its divisors is an integer number (5588310).

Almost surely, 2100587942 is an apocalyptic number.

100587942 is an abundant number, since it is smaller than the sum of its proper divisors (167650938).

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

100587942 is a wasteful number, since it uses less digits than its factorization.

100587942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61437 (or 61434 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 100587942 is about 10029.3540170841. The cubic root of 100587942 is about 465.0667680747.

The spelling of 100587942 in words is "one hundred million, five hundred eighty-seven thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 546 819 1638 61409 122818 184227 368454 429863 552681 798317 859726 1105362 1289589 1596634 2394951 2579178 3868767 4789902 5588219 7184853 7737534 11176438 14369706 16764657 33529314 50293971 100587942