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133088956 = 227111343773
BaseRepresentation
bin1111110111011…
…00011010111100
3100021102121201121
413323230122330
5233032321311
621112320324
73204144310
oct773543274
9307377647
10133088956
1169141780
12386a30a4
132175a780
1413965b40
15ba3db71
hex7eec6bc

133088956 has 96 divisors (see below), whose sum is σ = 320398848. Its totient is φ = 46690560.

The previous prime is 133088951. The next prime is 133088981. The reversal of 133088956 is 659880331.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133088951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171786 + ... + 172558.

It is an arithmetic number, because the mean of its divisors is an integer number (3337488).

Almost surely, 2133088956 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 133088956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160199424).

133088956 is an abundant number, since it is smaller than the sum of its proper divisors (187309892).

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

133088956 is a wasteful number, since it uses less digits than its factorization.

133088956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The square root of 133088956 is about 11536.4186817227. The cubic root of 133088956 is about 510.5606496244.

The spelling of 133088956 in words is "one hundred thirty-three million, eighty-eight thousand, nine hundred fifty-six".

Divisors: 1 2 4 7 11 13 14 22 26 28 43 44 52 77 86 91 143 154 172 182 286 301 308 364 473 559 572 602 773 946 1001 1118 1204 1546 1892 2002 2236 3092 3311 3913 4004 5411 6149 6622 7826 8503 10049 10822 12298 13244 15652 17006 20098 21644 24596 33239 34012 40196 43043 59521 66478 70343 86086 110539 119042 132956 140686 172172 221078 232673 238084 281372 365629 432107 442156 465346 731258 773773 864214 930692 1462516 1547546 1728428 2559403 3024749 3095092 4753177 5118806 6049498 9506354 10237612 12098996 19012708 33272239 66544478 133088956