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142531264 = 2617269487
BaseRepresentation
bin10000111111011…
…01101011000000
3100221012100010201
420133231223000
5242442000024
622050534544
73350332021
oct1037555300
9327170121
10142531264
1173500937
123b897454
13236b5535
1414d02c48
15c7a6744
hex87edac0

142531264 has 56 divisors (see below), whose sum is σ = 301203360. Its totient is φ = 66686976.

The previous prime is 142531241. The next prime is 142531271. The reversal of 142531264 is 462135241.

142531264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1425312642 = 40630322434875392, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 292429 + ... + 292915.

Almost surely, 2142531264 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 142531264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150601680).

142531264 is an abundant number, since it is smaller than the sum of its proper divisors (158672096).

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

142531264 is a wasteful number, since it uses less digits than its factorization.

142531264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 775 counting only the distinct ones).

The product of its digits is 5760, while the sum is 28.

The square root of 142531264 is about 11938.6458193549. The cubic root of 142531264 is about 522.3601591533.

The spelling of 142531264 in words is "one hundred forty-two million, five hundred thirty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 269 272 487 538 544 974 1076 1088 1948 2152 3896 4304 4573 7792 8279 8608 9146 15584 16558 17216 18292 31168 33116 36584 66232 73168 131003 132464 146336 262006 264928 292672 524012 529856 1048024 2096048 2227051 4192096 4454102 8384192 8908204 17816408 35632816 71265632 142531264