Search a number
-
+
133260984 = 23331921709
BaseRepresentation
bin1111111000101…
…10011010111000
3100021202100201000
413330112122320
5233103322414
621120125000
73205461663
oct774263270
9307670630
10133260984
1169249a4a
1238766760
13217bab6c
14139ac6da
15ba74b09
hex7f166b8

133260984 has 96 divisors (see below), whose sum is σ = 390906000. Its totient is φ = 42057792.

The previous prime is 133260979. The next prime is 133260991. The reversal of 133260984 is 489062331.

133260984 is a `hidden beast` number, since 13 + 32 + 609 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77122 + ... + 78830.

Almost surely, 2133260984 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 133260984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195453000).

133260984 is an abundant number, since it is smaller than the sum of its proper divisors (257645016).

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

133260984 is a wasteful number, since it uses less digits than its factorization.

133260984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1762 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 133260984 is about 11543.8721406641. The cubic root of 133260984 is about 510.7805349164.

The spelling of 133260984 in words is "one hundred thirty-three million, two hundred sixty thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 361 456 513 684 722 1026 1083 1368 1444 1709 2052 2166 2888 3249 3418 4104 4332 5127 6498 6836 8664 9747 10254 12996 13672 15381 19494 20508 25992 30762 32471 38988 41016 46143 61524 64942 77976 92286 97413 123048 129884 184572 194826 259768 292239 369144 389652 584478 616949 779304 876717 1168956 1233898 1753434 1850847 2337912 2467796 3506868 3701694 4935592 5552541 7013736 7403388 11105082 14806776 16657623 22210164 33315246 44420328 66630492 133260984