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142736904 = 23341671319
BaseRepresentation
bin10001000000111…
…11111000001000
3100221120210020000
420200133320020
5243020040104
622055203000
73352146402
oct1040377010
9327523200
10142736904
1173631392
123b976460
132375800b
1414d57b72
15c7e7639
hex881fe08

142736904 has 80 divisors (see below), whose sum is σ = 402494400. Its totient is φ = 47258208.

The previous prime is 142736903. The next prime is 142736921. The reversal of 142736904 is 409637241.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (142736903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 107557 + ... + 108875.

It is an arithmetic number, because the mean of its divisors is an integer number (5031180).

Almost surely, 2142736904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142736904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201247200).

142736904 is an abundant number, since it is smaller than the sum of its proper divisors (259757496).

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

142736904 is a wasteful number, since it uses less digits than its factorization.

142736904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 142736904 is about 11947.2550822354. The cubic root of 142736904 is about 522.6112538291.

The spelling of 142736904 in words is "one hundred forty-two million, seven hundred thirty-six thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 167 216 324 334 501 648 668 1002 1319 1336 1503 2004 2638 3006 3957 4008 4509 5276 6012 7914 9018 10552 11871 12024 13527 15828 18036 23742 27054 31656 35613 36072 47484 54108 71226 94968 106839 108216 142452 213678 220273 284904 427356 440546 660819 854712 881092 1321638 1762184 1982457 2643276 3964914 5286552 5947371 7929828 11894742 15859656 17842113 23789484 35684226 47578968 71368452 142736904