Search a number
-
+
133770735 = 325721931103
BaseRepresentation
bin1111111100100…
…10110111101111
3100022201020221200
413332102313233
5233221130420
621135100543
73213014100
oct776226757
9308636850
10133770735
1169567a2a
1238971753
1321938ba7
1413aa23a7
15bb25b90
hex7f92def

133770735 has 144 divisors (see below), whose sum is σ = 295925760. Its totient is φ = 55520640.

The previous prime is 133770727. The next prime is 133770757. The reversal of 133770735 is 537077331.

It is not a de Polignac number, because 133770735 - 23 = 133770727 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 133770735.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1298694 + ... + 1298796.

It is an arithmetic number, because the mean of its divisors is an integer number (2055040).

Almost surely, 2133770735 is an apocalyptic number.

133770735 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

133770735 is an abundant number, since it is smaller than the sum of its proper divisors (162155025).

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

133770735 is a wasteful number, since it uses less digits than its factorization.

133770735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 46305, while the sum is 36.

The square root of 133770735 is about 11565.9299237026. The cubic root of 133770735 is about 511.4309868678.

The spelling of 133770735 in words is "one hundred thirty-three million, seven hundred seventy thousand, seven hundred thirty-five".

Divisors: 1 3 5 7 9 15 19 21 31 35 45 49 57 63 93 95 103 105 133 147 155 171 217 245 279 285 309 315 399 441 465 515 589 651 665 721 735 855 927 931 1085 1197 1395 1519 1545 1767 1953 1957 1995 2163 2205 2793 2945 3193 3255 3605 4123 4557 4635 4655 5047 5301 5871 5985 6489 7595 8379 8835 9579 9765 9785 10815 12369 13671 13699 13965 15141 15965 17613 20615 22351 22785 25235 26505 28737 28861 29355 32445 37107 41097 41895 45423 47895 60667 61845 67053 68355 68495 75705 86583 88065 95893 111755 123291 143685 144305 156457 182001 185535 201159 205485 227115 259749 287679 303335 335265 424669 432915 469371 479465 546003 616455 782285 863037 910005 1005795 1274007 1298745 1408113 1438395 2123345 2346855 2730015 2972683 3822021 4315185 6370035 7040565 8918049 14863415 19110105 26754147 44590245 133770735