[go: up one dir, main page]

Search a number
-
+
189264640 = 285147863
BaseRepresentation
bin10110100011111…
…11001100000000
3111012010122021111
423101333030000
5341422432030
630440333104
74455502645
oct1321771400
9435118244
10189264640
1197920364
1253474194
1330298b16
141b1c9dcc
151193862a
hexb47f300

189264640 has 36 divisors (see below), whose sum is σ = 453351024. Its totient is φ = 75705344.

The previous prime is 189264637. The next prime is 189264661. The reversal of 189264640 is 46462981.

It is a super-2 number, since 2×1892646402 = 71642207908659200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 189264593 and 189264602.

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 3 ways as a sum of consecutive naturals, for example, 72652 + ... + 75211.

It is an arithmetic number, because the mean of its divisors is an integer number (12593084).

Almost surely, 2189264640 is an apocalyptic number.

189264640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

189264640 is an abundant number, since it is smaller than the sum of its proper divisors (264086384).

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

189264640 is an equidigital number, since it uses as much as digits as its factorization.

189264640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147884 (or 147870 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 189264640 is about 13757.3485817580. The cubic root of 189264640 is about 574.1470807638.

The spelling of 189264640 in words is "one hundred eighty-nine million, two hundred sixty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 147863 295726 591452 739315 1182904 1478630 2365808 2957260 4731616 5914520 9463232 11829040 18926464 23658080 37852928 47316160 94632320 189264640