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133290872 = 231113374767
BaseRepresentation
bin1111111000111…
…01101101111000
3100021210212200222
413330131231320
5233110301442
621120515212
73205645061
oct774355570
9307725628
10133290872
116926a450
123877bb08
13217cb650
14139b9568
15ba7d8d2
hex7f1db78

133290872 has 128 divisors (see below), whose sum is σ = 312560640. Its totient is φ = 52462080.

The previous prime is 133290847. The next prime is 133290881. The reversal of 133290872 is 278092331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1989383 + ... + 1989449.

It is an arithmetic number, because the mean of its divisors is an integer number (2441880).

Almost surely, 2133290872 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 133290872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156280320).

133290872 is an abundant number, since it is smaller than the sum of its proper divisors (179269768).

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

133290872 is a wasteful number, since it uses less digits than its factorization.

133290872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 133290872 is about 11545.1666077194. The cubic root of 133290872 is about 510.8187183042.

The spelling of 133290872 in words is "one hundred thirty-three million, two hundred ninety thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 11 13 22 26 37 44 47 52 67 74 88 94 104 134 143 148 188 268 286 296 376 407 481 517 536 572 611 737 814 871 962 1034 1144 1222 1474 1628 1739 1742 1924 2068 2444 2479 2948 3149 3256 3478 3484 3848 4136 4888 4958 5291 5896 6298 6721 6956 6968 9581 9916 10582 12596 13442 13912 19129 19162 19832 21164 22607 25192 26884 27269 32227 34639 38258 38324 40937 42328 45214 53768 54538 64454 69278 76516 76648 81874 90428 109076 116513 128908 138556 153032 163748 180856 218152 233026 248677 257816 277112 327496 354497 450307 466052 497354 708994 900614 932104 994708 1281643 1417988 1514669 1801228 1989416 2563286 2835976 3029338 3602456 5126572 6058676 10253144 12117352 16661359 33322718 66645436 133290872