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42160635 = 3351122989
BaseRepresentation
bin1010000011010…
…1000111111011
32221022222112000
42200311013323
541243120020
64103352043
71021234206
oct240650773
987288460
1042160635
1121886a00
1212152623
13897212a
14585693d
153a7c090
hex28351fb

42160635 has 96 divisors (see below), whose sum is σ = 86184000. Its totient is φ = 19514880.

The previous prime is 42160631. The next prime is 42160637. The reversal of 42160635 is 53606124.

42160635 is a `hidden beast` number, since 4 + 21 + 6 + 0 + 635 = 666.

It is not a de Polignac number, because 42160635 - 22 = 42160631 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 42160599 and 42160608.

It is not an unprimeable number, because it can be changed into a prime (42160631) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 473671 + ... + 473759.

It is an arithmetic number, because the mean of its divisors is an integer number (897750).

Almost surely, 242160635 is an apocalyptic number.

42160635 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42160635 is an abundant number, since it is smaller than the sum of its proper divisors (44023365).

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

42160635 is a wasteful number, since it uses less digits than its factorization.

42160635 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 42160635 is about 6493.1221303777. The cubic root of 42160635 is about 348.0452527359.

Adding to 42160635 its reverse (53606124), we get a palindrome (95766759).

The spelling of 42160635 in words is "forty-two million, one hundred sixty thousand, six hundred thirty-five".

Divisors: 1 3 5 9 11 15 27 29 33 45 55 87 89 99 121 135 145 165 261 267 297 319 363 435 445 495 605 783 801 957 979 1089 1305 1335 1485 1595 1815 2403 2581 2871 2937 3267 3509 3915 4005 4785 4895 5445 7743 8613 8811 10527 10769 12015 12905 14355 14685 16335 17545 23229 26433 28391 31581 32307 38715 43065 44055 52635 53845 69687 85173 94743 96921 116145 132165 141955 157905 161535 255519 290763 312301 348435 425865 473715 484605 766557 936903 1277595 1453815 1561505 2810709 3832785 4684515 8432127 14053545 42160635