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142353936 = 2434109841
BaseRepresentation
bin10000111110000…
…10011000010000
3100220212022220000
420133002120100
5242420311221
622043050000
73345663024
oct1037023020
9326768800
10142353936
117339a68a
123b810900
13236528ca
1414c98384
15c76de26
hex87c2610

142353936 has 50 divisors (see below), whose sum is σ = 412017342. Its totient is φ = 47450880.

The previous prime is 142353917. The next prime is 142353943. The reversal of 142353936 is 639353241.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 140280336 + 2073600 = 11844^2 + 1440^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 142353936.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 53625 + ... + 56216.

Almost surely, 2142353936 is an apocalyptic number.

142353936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

142353936 is an abundant number, since it is smaller than the sum of its proper divisors (269663406).

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

142353936 is a wasteful number, since it uses less digits than its factorization.

142353936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109861 (or 109846 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The square root of 142353936 is about 11931.2168700431. The cubic root of 142353936 is about 522.1434405645.

The spelling of 142353936 in words is "one hundred forty-two million, three hundred fifty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 109841 219682 329523 439364 659046 878728 988569 1318092 1757456 1977138 2636184 2965707 3954276 5272368 5931414 7908552 8897121 11862828 15817104 17794242 23725656 35588484 47451312 71176968 142353936