Search a number
-
+
190142568 = 233271134297
BaseRepresentation
bin10110101010101…
…01100001101000
3111020210020120100
423111111201220
5342134030233
630511225400
74466120340
oct1325254150
9436706510
10190142568
119836aa20
1253818260
13305155c5
141b377d20
1511a5d813
hexb555868

190142568 has 96 divisors (see below), whose sum is σ = 642058560. Its totient is φ = 49386240.

The previous prime is 190142567. The next prime is 190142581. The reversal of 190142568 is 865241091.

190142568 is a `hidden beast` number, since 1 + 90 + 1 + 4 + 2 + 568 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (190142567) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 11605 + ... + 22692.

It is an arithmetic number, because the mean of its divisors is an integer number (6688110).

Almost surely, 2190142568 is an apocalyptic number.

190142568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

190142568 is an abundant number, since it is smaller than the sum of its proper divisors (451915992).

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

190142568 is a wasteful number, since it uses less digits than its factorization.

190142568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34327 (or 34320 counting only the distinct ones).

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

The square root of 190142568 is about 13789.2192672392. The cubic root of 190142568 is about 575.0334629549.

The spelling of 190142568 in words is "one hundred ninety million, one hundred forty-two thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 126 132 154 168 198 231 252 264 308 396 462 504 616 693 792 924 1386 1848 2772 5544 34297 68594 102891 137188 205782 240079 274376 308673 377267 411564 480158 617346 720237 754534 823128 960316 1131801 1234692 1440474 1509068 1920632 2160711 2263602 2469384 2640869 2880948 3018136 3395403 4321422 4527204 5281738 5761896 6790806 7922607 8642844 9054408 10563476 13581612 15845214 17285688 21126952 23767821 27163224 31690428 47535642 63380856 95071284 190142568