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142856364 = 22372192673
BaseRepresentation
bin10001000001111…
…01000010101100
3100221210212002110
420200331002230
5243032400424
622101524020
73353154600
oct1040750254
9327725073
10142856364
1173703112
123ba13610
132379a4c1
1414d89500
15c81cc29
hex883d0ac

142856364 has 108 divisors (see below), whose sum is σ = 409843224. Its totient is φ = 38610432.

The previous prime is 142856353. The next prime is 142856377. The reversal of 142856364 is 463658241.

142856364 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 211932 + ... + 212604.

Almost surely, 2142856364 is an apocalyptic number.

142856364 is a gapful number since it is divisible by the number (14) 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 142856364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204921612).

142856364 is an abundant number, since it is smaller than the sum of its proper divisors (266986860).

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

142856364 is a wasteful number, since it uses less digits than its factorization.

142856364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 704 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 142856364 is about 11952.2535113676. The cubic root of 142856364 is about 522.7570085475.

The spelling of 142856364 in words is "one hundred forty-two million, eight hundred fifty-six thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 49 57 76 84 98 114 133 147 196 228 266 294 361 399 532 588 673 722 798 931 1083 1346 1444 1596 1862 2019 2166 2527 2692 2793 3724 4038 4332 4711 5054 5586 7581 8076 9422 10108 11172 12787 14133 15162 17689 18844 25574 28266 30324 32977 35378 38361 51148 53067 56532 65954 70756 76722 89509 98931 106134 131908 153444 179018 197862 212268 242953 268527 358036 395724 485906 537054 626563 728859 971812 1074108 1253126 1457718 1700671 1879689 2506252 2915436 3401342 3759378 5102013 6802684 7518756 10204026 11904697 20408052 23809394 35714091 47618788 71428182 142856364