Search a number
-
+
192136512 = 26319311699
BaseRepresentation
bin10110111001111…
…00010101000000
3111101112112202010
423130330111000
5343141332022
631022052520
74522063521
oct1334742500
9441475663
10192136512
1199502007
125441a140
1330a63059
141b736848
1511d0450c
hexb73c540

192136512 has 112 divisors (see below), whose sum is σ = 552704000. Its totient is φ = 58682880.

The previous prime is 192136507. The next prime is 192136639. The reversal of 192136512 is 215631291.

It is a super-2 number, since 2×1921365122 = 73832878487052288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 192136512.

It is a congruent number.

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, 112239 + ... + 113937.

Almost surely, 2192136512 is an apocalyptic number.

192136512 is a gapful number since it is divisible by the number (12) 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 192136512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276352000).

192136512 is an abundant number, since it is smaller than the sum of its proper divisors (360567488).

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

192136512 is a wasteful number, since it uses less digits than its factorization.

192136512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 1754 counting only the distinct ones).

The product of its digits is 3240, while the sum is 30.

The square root of 192136512 is about 13861.3315377708. The cubic root of 192136512 is about 577.0365209911.

The spelling of 192136512 in words is "one hundred ninety-two million, one hundred thirty-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 32 38 48 57 62 64 76 93 96 114 124 152 186 192 228 248 304 372 456 496 589 608 744 912 992 1178 1216 1488 1699 1767 1824 1984 2356 2976 3398 3534 3648 4712 5097 5952 6796 7068 9424 10194 13592 14136 18848 20388 27184 28272 32281 37696 40776 52669 54368 56544 64562 81552 96843 105338 108736 113088 129124 158007 163104 193686 210676 258248 316014 326208 387372 421352 516496 632028 774744 842704 1000711 1032992 1264056 1549488 1685408 2001422 2065984 2528112 3002133 3098976 3370816 4002844 5056224 6004266 6197952 8005688 10112448 12008532 16011376 24017064 32022752 48034128 64045504 96068256 192136512