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133069536 = 25322320089
BaseRepresentation
bin1111110111001…
…11101011100000
3100021101122002100
413323213223200
5233031211121
621112050400
73204033555
oct773475340
9307348070
10133069536
1169129126
1238693a00
1321751992
141395ca2c
15ba38026
hex7ee7ae0

133069536 has 72 divisors (see below), whose sum is σ = 394889040. Its totient is φ = 42425856.

The previous prime is 133069499. The next prime is 133069537. The reversal of 133069536 is 635960331.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1330695362 = 35415002822510592, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 133069536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133069537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3421 + ... + 16668.

It is an arithmetic number, because the mean of its divisors is an integer number (5484570).

Almost surely, 2133069536 is an apocalyptic number.

133069536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

133069536 is an abundant number, since it is smaller than the sum of its proper divisors (261819504).

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

133069536 is a wasteful number, since it uses less digits than its factorization.

133069536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20128 (or 20117 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

The square root of 133069536 is about 11535.5769686652. The cubic root of 133069536 is about 510.5358151818.

The spelling of 133069536 in words is "one hundred thirty-three million, sixty-nine thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 20089 40178 60267 80356 120534 160712 180801 241068 321424 361602 462047 482136 642848 723204 924094 964272 1386141 1446408 1848188 1928544 2772282 2892816 3696376 4158423 5544564 5785632 7392752 8316846 11089128 14785504 16633692 22178256 33267384 44356512 66534768 133069536