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133798460 = 225291971171
BaseRepresentation
bin1111111100110…
…01101000111100
3100022202122222112
413332121220330
5233223022320
621135433152
73213160655
oct776315074
9308678875
10133798460
1169586844
12389857b8
13219486b3
1413aac52c
15bb2dec5
hex7f99a3c

133798460 has 48 divisors (see below), whose sum is σ = 292390560. Its totient is φ = 51367680.

The previous prime is 133798459. The next prime is 133798493. The reversal of 133798460 is 64897331.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 113675 + ... + 114845.

It is an arithmetic number, because the mean of its divisors is an integer number (6091470).

Almost surely, 2133798460 is an apocalyptic number.

133798460 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 133798460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146195280).

133798460 is an abundant number, since it is smaller than the sum of its proper divisors (158592100).

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

133798460 is a wasteful number, since it uses less digits than its factorization.

133798460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 41.

The square root of 133798460 is about 11567.1284249809. The cubic root of 133798460 is about 511.4663170781.

The spelling of 133798460 in words is "one hundred thirty-three million, seven hundred ninety-eight thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 29 58 116 145 197 290 394 580 788 985 1171 1970 2342 3940 4684 5713 5855 11426 11710 22852 23420 28565 33959 57130 67918 114260 135836 169795 230687 339590 461374 679180 922748 1153435 2306870 4613740 6689923 13379846 26759692 33449615 66899230 133798460