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42100520 = 23571113669
BaseRepresentation
bin1010000010011…
…0011100101000
32221012221001112
42200212130220
541234204040
64102205452
71020564020
oct240463450
987187045
1042100520
1121845820
1212123888
138950967
14583ca80
153a69365
hex2826728

42100520 has 64 divisors (see below), whose sum is σ = 118108800. Its totient is φ = 13121280.

The previous prime is 42100519. The next prime is 42100543. The reversal of 42100520 is 2500124.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 42100495 and 42100504.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3755 + ... + 9914.

It is an arithmetic number, because the mean of its divisors is an integer number (1845450).

Almost surely, 242100520 is an apocalyptic number.

42100520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42100520 is an abundant number, since it is smaller than the sum of its proper divisors (76008280).

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

42100520 is a wasteful number, since it uses less digits than its factorization.

42100520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13698 (or 13694 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 42100520 is about 6488.4913500751. The cubic root of 42100520 is about 347.8797532321.

Adding to 42100520 its reverse (2500124), we get a palindrome (44600644).

The spelling of 42100520 in words is "forty-two million, one hundred thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 13669 27338 54676 68345 95683 109352 136690 150359 191366 273380 300718 382732 478415 546760 601436 751795 765464 956830 1052513 1202872 1503590 1913660 2105026 3007180 3827320 4210052 5262565 6014360 8420104 10525130 21050260 42100520