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133928496 = 243213292467
BaseRepresentation
bin1111111101110…
…01011000110000
3100100000021100200
413332321120300
5233241202441
621142315200
73214242042
oct776713060
9310007320
10133928496
1169665509
1238a28b00
1321992940
1413b03a92
15bb577b6
hex7fb9630

133928496 has 120 divisors (see below), whose sum is σ = 417733680. Its totient is φ = 39771648.

The previous prime is 133928479. The next prime is 133928503. The reversal of 133928496 is 694829331.

It is a happy number.

133928496 is a `hidden beast` number, since 133 + 9 + 28 + 496 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53055 + ... + 55521.

It is an arithmetic number, because the mean of its divisors is an integer number (3481114).

Almost surely, 2133928496 is an apocalyptic number.

133928496 is a gapful number since it is divisible by the number (16) 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 133928496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208866840).

133928496 is an abundant number, since it is smaller than the sum of its proper divisors (283805184).

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

133928496 is a wasteful number, since it uses less digits than its factorization.

133928496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2523 (or 2514 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 133928496 is about 11572.7479882697. The cubic root of 133928496 is about 511.6319579965.

The spelling of 133928496 in words is "one hundred thirty-three million, nine hundred twenty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 29 36 39 48 52 58 72 78 87 104 116 117 144 156 174 208 232 234 261 312 348 377 464 468 522 624 696 754 936 1044 1131 1392 1508 1872 2088 2262 2467 3016 3393 4176 4524 4934 6032 6786 7401 9048 9868 13572 14802 18096 19736 22203 27144 29604 32071 39472 44406 54288 59208 64142 71543 88812 96213 118416 128284 143086 177624 192426 214629 256568 286172 288639 355248 384852 429258 513136 572344 577278 643887 769704 858516 930059 1144688 1154556 1287774 1539408 1717032 1860118 2309112 2575548 2790177 3434064 3720236 4618224 5151096 5580354 7440472 8370531 10302192 11160708 14880944 16741062 22321416 33482124 44642832 66964248 133928496