Search a number
-
+
192973968 = 24331140609
BaseRepresentation
bin10111000000010…
…00110010010000
3111110010002112000
423200020302100
5343400131333
631052034000
74532152215
oct1340106220
9443102460
10192973968
1199a24220
1254762900
1330c972a5
141b8b3b0c
1511e1c713
hexb808c90

192973968 has 80 divisors (see below), whose sum is σ = 604276800. Its totient is φ = 58475520.

The previous prime is 192973961. The next prime is 192973969. The reversal of 192973968 is 869379291.

It is a super-3 number, since 3×1929739683 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (192973961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15553 + ... + 25056.

It is an arithmetic number, because the mean of its divisors is an integer number (7553460).

Almost surely, 2192973968 is an apocalyptic number.

192973968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

192973968 is an abundant number, since it is smaller than the sum of its proper divisors (411302832).

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

192973968 is a wasteful number, since it uses less digits than its factorization.

192973968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40637 (or 40625 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 54.

The square root of 192973968 is about 13891.5070456736. The cubic root of 192973968 is about 577.8736728187.

The spelling of 192973968 in words is "one hundred ninety-two million, nine hundred seventy-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 40609 81218 121827 162436 243654 324872 365481 446699 487308 649744 730962 893398 974616 1096443 1340097 1461924 1786796 1949232 2192886 2680194 2923848 3573592 4020291 4385772 5360388 5847696 7147184 8040582 8771544 10720776 12060873 16081164 17543088 21441552 24121746 32162328 48243492 64324656 96486984 192973968