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133103920 = 2454338693
BaseRepresentation
bin1111110111100…
…00000100110000
3100021110101020211
413323300010300
5233033311140
621112513504
73204236035
oct773600460
9307411224
10133103920
1169151a44
12386ab894
1321764521
141396b38c
15ba432ea
hex7ef0130

133103920 has 40 divisors (see below), whose sum is σ = 316671696. Its totient is φ = 52002048.

The previous prime is 133103899. The next prime is 133103923. The reversal of 133103920 is 29301331.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 133103891 and 133103900.

It is not an unprimeable number, because it can be changed into a prime (133103923) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 15907 + ... + 22786.

Almost surely, 2133103920 is an apocalyptic number.

133103920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133103920 is an abundant number, since it is smaller than the sum of its proper divisors (183567776).

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

133103920 is a wasteful number, since it uses less digits than its factorization.

133103920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38749 (or 38743 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

The square root of 133103920 is about 11537.0672183185. The cubic root of 133103920 is about 510.5797840527.

The spelling of 133103920 in words is "one hundred thirty-three million, one hundred three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 688 860 1720 3440 38693 77386 154772 193465 309544 386930 619088 773860 1547720 1663799 3095440 3327598 6655196 8318995 13310392 16637990 26620784 33275980 66551960 133103920