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133955928 = 233219181541
BaseRepresentation
bin1111111110000…
…00000101011000
3100100001122222200
413333000011120
5233243042203
621143050200
73214415031
oct777000530
9310048880
10133955928
1169684087
1238a40960
13219a2282
1413b0da88
15bb609a3
hex7fc0158

133955928 has 96 divisors (see below), whose sum is σ = 384711600. Its totient is φ = 41990400.

The previous prime is 133955893. The next prime is 133955951. The reversal of 133955928 is 829559331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 247338 + ... + 247878.

Almost surely, 2133955928 is an apocalyptic number.

133955928 is a gapful number since it is divisible by the number (18) 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 133955928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192355800).

133955928 is an abundant number, since it is smaller than the sum of its proper divisors (250755672).

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

133955928 is a wasteful number, since it uses less digits than its factorization.

133955928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 746 counting only the distinct ones).

The product of its digits is 291600, while the sum is 45.

The square root of 133955928 is about 11573.9331257788. The cubic root of 133955928 is about 511.6668874057. Note that the first 3 decimals are identical.

It can be divided in two parts, 13395592 and 8, that added together give a square (13395600 = 36602).

The spelling of 133955928 in words is "one hundred thirty-three million, nine hundred fifty-five thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 181 228 342 362 456 541 543 684 724 1082 1086 1368 1448 1623 1629 2164 2172 3246 3258 3439 4328 4344 4869 6492 6516 6878 9738 10279 10317 12984 13032 13756 19476 20558 20634 27512 30837 30951 38952 41116 41268 61674 61902 82232 82536 92511 97921 123348 123804 185022 195842 246696 247608 293763 370044 391684 587526 740088 783368 881289 1175052 1762578 1860499 2350104 3525156 3720998 5581497 7050312 7441996 11162994 14883992 16744491 22325988 33488982 44651976 66977964 133955928