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142951032 = 23327240519
BaseRepresentation
bin10001000010101…
…00001001111000
3100221222122221200
420201110021320
5243043413112
622103534200
73354030600
oct1041241170
9327878850
10142951032
1173768254
123ba5a360
1323801613
1414db1c00
15c83acdc
hex8854278

142951032 has 72 divisors (see below), whose sum is σ = 450379800. Its totient is φ = 40842144.

The previous prime is 142951031. The next prime is 142951033. The reversal of 142951032 is 230159241.

142951032 is a `hidden beast` number, since 142 + 9 + 510 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (142951031) and next prime (142951033).

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 142950987 and 142951005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142951031) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16732 + ... + 23787.

It is an arithmetic number, because the mean of its divisors is an integer number (6255275).

Almost surely, 2142951032 is an apocalyptic number.

142951032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

142951032 is an abundant number, since it is smaller than the sum of its proper divisors (307428768).

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

142951032 is a wasteful number, since it uses less digits than its factorization.

142951032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40545 (or 40531 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 142951032 is about 11956.2131128548. The cubic root of 142951032 is about 522.8724565203.

The spelling of 142951032 in words is "one hundred forty-two million, nine hundred fifty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 40519 81038 121557 162076 243114 283633 324152 364671 486228 567266 729342 850899 972456 1134532 1458684 1701798 1985431 2269064 2552697 2917368 3403596 3970862 5105394 5956293 6807192 7941724 10210788 11912586 15883448 17868879 20421576 23825172 35737758 47650344 71475516 142951032