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133054040 = 2357432257
BaseRepresentation
bin1111110111000…
…11111001011000
3100021100211211102
413323203321120
5233030212130
621111450532
73203640440
oct773437130
9307324742
10133054040
1169118519
1238686a48
1321747902
1413957120
15ba33645
hex7ee3e58

133054040 has 96 divisors (see below), whose sum is σ = 351643680. Its totient is φ = 44384256.

The previous prime is 133054013. The next prime is 133054043. The reversal of 133054040 is 40450331.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133054043) 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 23 ways as a sum of consecutive naturals, for example, 517592 + ... + 517848.

It is an arithmetic number, because the mean of its divisors is an integer number (3662955).

Almost surely, 2133054040 is an apocalyptic number.

133054040 is a gapful number since it is divisible by the number (10) 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 133054040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175821840).

133054040 is an abundant number, since it is smaller than the sum of its proper divisors (218589640).

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

133054040 is a wasteful number, since it uses less digits than its factorization.

133054040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 133054040 is about 11534.9052878643. The cubic root of 133054040 is about 510.5159970468.

The spelling of 133054040 in words is "one hundred thirty-three million, fifty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 43 56 70 86 140 172 215 257 280 301 344 430 514 602 860 1028 1204 1285 1505 1720 1799 1849 2056 2408 2570 3010 3598 3698 5140 6020 7196 7396 8995 9245 10280 11051 12040 12943 14392 14792 17990 18490 22102 25886 35980 36980 44204 51772 55255 64715 71960 73960 77357 88408 103544 110510 129430 154714 221020 258860 309428 386785 442040 475193 517720 618856 773570 950386 1547140 1900772 2375965 3094280 3326351 3801544 4751930 6652702 9503860 13305404 16631755 19007720 26610808 33263510 66527020 133054040