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142245696 = 2632959433
BaseRepresentation
bin10000111101001…
…11111101000000
3100220122211102010
420132213331000
5242403330241
622040452520
73345032325
oct1036477500
9326584363
10142245696
117332632a
123b77a140
1323615568
1414c6ab4c
15c74bd16
hex87a7f40

142245696 has 112 divisors (see below), whose sum is σ = 396849600. Its totient is φ = 44900352.

The previous prime is 142245619. The next prime is 142245703. The reversal of 142245696 is 696542241.

It is a happy number.

142245696 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 328296 + ... + 328728.

It is an arithmetic number, because the mean of its divisors is an integer number (3543300).

Almost surely, 2142245696 is an apocalyptic number.

142245696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142245696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198424800).

142245696 is an abundant number, since it is smaller than the sum of its proper divisors (254603904).

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

142245696 is a wasteful number, since it uses less digits than its factorization.

142245696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 526 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 142245696 is about 11926.6800074455. The cubic root of 142245696 is about 522.0110683051.

The spelling of 142245696 in words is "one hundred forty-two million, two hundred forty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 59 64 87 96 116 118 174 177 192 232 236 348 354 433 464 472 696 708 866 928 944 1299 1392 1416 1711 1732 1856 1888 2598 2784 2832 3422 3464 3776 5133 5196 5568 5664 6844 6928 10266 10392 11328 12557 13688 13856 20532 20784 25114 25547 27376 27712 37671 41064 41568 50228 51094 54752 75342 76641 82128 83136 100456 102188 109504 150684 153282 164256 200912 204376 301368 306564 328512 401824 408752 602736 613128 740863 803648 817504 1205472 1226256 1481726 1635008 2222589 2410944 2452512 2963452 4445178 4905024 5926904 8890356 11853808 17780712 23707616 35561424 47415232 71122848 142245696