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190142856 = 23336114431
BaseRepresentation
bin10110101010101…
…01100110001000
3111020210020222000
423111111212020
5342134032411
630511231000
74466121231
oct1325254610
9436706860
10190142856
1198370162
1253818460
1330515787
141b378088
1511a5d956
hexb555988

190142856 has 64 divisors (see below), whose sum is σ = 536870400. Its totient is φ = 62337600.

The previous prime is 190142837. The next prime is 190142921. The reversal of 190142856 is 658241091.

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 190142856.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5961 + ... + 20391.

It is an arithmetic number, because the mean of its divisors is an integer number (8388600).

Almost surely, 2190142856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190142856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268435200).

190142856 is an abundant number, since it is smaller than the sum of its proper divisors (346727544).

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

190142856 is a wasteful number, since it uses less digits than its factorization.

190142856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14507 (or 14497 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 190142856 is about 13789.2297101760. The cubic root of 190142856 is about 575.0337532801.

The spelling of 190142856 in words is "one hundred ninety million, one hundred forty-two thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 108 122 183 216 244 366 488 549 732 1098 1464 1647 2196 3294 4392 6588 13176 14431 28862 43293 57724 86586 115448 129879 173172 259758 346344 389637 519516 779274 880291 1039032 1558548 1760582 2640873 3117096 3521164 5281746 7042328 7922619 10563492 15845238 21126984 23767857 31690476 47535714 63380952 95071428 190142856