Search a number
-
+
192630912 = 2733111613
BaseRepresentation
bin10110111101101…
…01000010000000
3111102110122221020
423132311002000
5343303142122
631040425440
74526223105
oct1336650200
9442418836
10192630912
119980a501
1254618280
1330ba70b6
141b824aac
1511da0c5c
hexb7b5080

192630912 has 64 divisors (see below), whose sum is σ = 513639360. Its totient is φ = 63964160.

The previous prime is 192630901. The next prime is 192630913. The reversal of 192630912 is 219036291.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (192630913) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118618 + ... + 120230.

It is an arithmetic number, because the mean of its divisors is an integer number (8025615).

Almost surely, 2192630912 is an apocalyptic number.

192630912 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 192630912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256819680).

192630912 is an abundant number, since it is smaller than the sum of its proper divisors (321008448).

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

192630912 is a wasteful number, since it uses less digits than its factorization.

192630912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1941 (or 1929 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 192630912 is about 13879.1538646994. The cubic root of 192630912 is about 577.5310348570.

The spelling of 192630912 in words is "one hundred ninety-two million, six hundred thirty thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 311 384 622 933 1244 1613 1866 2488 3226 3732 4839 4976 6452 7464 9678 9952 12904 14928 19356 19904 25808 29856 38712 39808 51616 59712 77424 103232 119424 154848 206464 309696 501643 619392 1003286 1504929 2006572 3009858 4013144 6019716 8026288 12039432 16052576 24078864 32105152 48157728 64210304 96315456 192630912