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142929936 = 24324143563
BaseRepresentation
bin10001000010011…
…11000000010000
3100221221121000100
420201033000100
5243042224221
622103252400
73353612232
oct1041170020
9327847010
10142929936
1173753416
123ba4a100
13237c4b36
1414da8252
15c834926
hex884f010

142929936 has 120 divisors (see below), whose sum is σ = 420035616. Its totient is φ = 45319680.

The previous prime is 142929929. The next prime is 142929937. The reversal of 142929936 is 639929241.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 142929891 and 142929900.

It is not an unprimeable number, because it can be changed into a prime (142929937) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253591 + ... + 254153.

Almost surely, 2142929936 is an apocalyptic number.

142929936 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 142929936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210017808).

142929936 is an abundant number, since it is smaller than the sum of its proper divisors (277105680).

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

142929936 is a wasteful number, since it uses less digits than its factorization.

142929936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 652 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 142929936 is about 11955.3308611682. The cubic root of 142929936 is about 522.8467342856.

The spelling of 142929936 in words is "one hundred forty-two million, nine hundred twenty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 43 48 72 82 86 123 129 144 164 172 246 258 328 344 369 387 492 516 563 656 688 738 774 984 1032 1126 1476 1548 1689 1763 1968 2064 2252 2952 3096 3378 3526 4504 5067 5289 5904 6192 6756 7052 9008 10134 10578 13512 14104 15867 20268 21156 23083 24209 27024 28208 31734 40536 42312 46166 48418 63468 69249 72627 81072 84624 92332 96836 126936 138498 145254 184664 193672 207747 217881 253872 276996 290508 369328 387344 415494 435762 553992 581016 830988 871524 992569 1107984 1162032 1661976 1743048 1985138 2977707 3323952 3486096 3970276 5955414 7940552 8933121 11910828 15881104 17866242 23821656 35732484 47643312 71464968 142929936