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133220976 = 24371783281
BaseRepresentation
bin1111111000011…
…00101001110000
3100021200022211020
413330030221300
5233101032401
621115215440
73205234230
oct774145160
9307608736
10133220976
1169221989
1238747580
13217a58a5
141399bcc0
15ba67d36
hex7f0ca70

133220976 has 160 divisors (see below), whose sum is σ = 422972928. Its totient is φ = 35266560.

The previous prime is 133220963. The next prime is 133220977. The reversal of 133220976 is 679022331.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133220977) 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, 473956 + ... + 474236.

Almost surely, 2133220976 is an apocalyptic number.

133220976 is a gapful number since it is divisible by the number (16) 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 133220976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211486464).

133220976 is an abundant number, since it is smaller than the sum of its proper divisors (289751952).

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

133220976 is a wasteful number, since it uses less digits than its factorization.

133220976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 133220976 is about 11542.1391431571. The cubic root of 133220976 is about 510.7294137945.

The spelling of 133220976 in words is "one hundred thirty-three million, two hundred twenty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 83 84 102 112 119 136 166 168 204 238 249 272 281 332 336 357 408 476 498 562 581 664 714 816 843 952 996 1124 1162 1328 1411 1428 1686 1743 1904 1967 1992 2248 2324 2822 2856 3372 3486 3934 3984 4233 4496 4648 4777 5644 5712 5901 6744 6972 7868 8466 9296 9554 9877 11288 11802 13488 13944 14331 15736 16932 19108 19754 22576 23323 23604 27888 28662 29631 31472 33439 33864 38216 39508 46646 47208 57324 59262 66878 67728 69969 76432 79016 93292 94416 100317 114648 118524 133756 139938 158032 163261 186584 200634 229296 237048 267512 279876 326522 373168 396491 401268 474096 489783 535024 559752 653044 792982 802536 979566 1119504 1189473 1306088 1585964 1605072 1959132 2378946 2612176 2775437 3171928 3918264 4757892 5550874 6343856 7836528 8326311 9515784 11101748 16652622 19031568 22203496 33305244 44406992 66610488 133220976