Search a number
-
+
672675136 = 267330643
BaseRepresentation
bin101000000110000…
…011010101000000
31201212202102210221
4220012003111000
52334201101021
6150425432424
722445434000
oct5006032500
91655672727
10672675136
11315786871
1216933b714
13a9492c33
14654a4000
153e0c6241
hex28183540

672675136 has 56 divisors (see below), whose sum is σ = 1556715200. Its totient is φ = 288279936.

The previous prime is 672675127. The next prime is 672675149. The reversal of 672675136 is 631576276.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 672675092 and 672675101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6631 + ... + 37273.

Almost surely, 2672675136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 672675136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778357600).

672675136 is an abundant number, since it is smaller than the sum of its proper divisors (884040064).

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

672675136 is an equidigital number, since it uses as much as digits as its factorization.

672675136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30676 (or 30652 counting only the distinct ones).

The product of its digits is 317520, while the sum is 43.

The square root of 672675136 is about 25935.9814928990. The cubic root of 672675136 is about 876.1970602590.

The spelling of 672675136 in words is "six hundred seventy-two million, six hundred seventy-five thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 343 392 448 686 784 1372 1568 2744 3136 5488 10976 21952 30643 61286 122572 214501 245144 429002 490288 858004 980576 1501507 1716008 1961152 3003014 3432016 6006028 6864032 10510549 12012056 13728064 21021098 24024112 42042196 48048224 84084392 96096448 168168784 336337568 672675136