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133464996 = 2234783709
BaseRepresentation
bin1111111010010…
…00001110100100
3100022010201120000
413331020032210
5233131334441
621124341300
73210301530
oct775101644
9308121500
10133464996
1169379255
1238844830
132185c992
1413a22bc0
15bab52b6
hex7f483a4

133464996 has 120 divisors (see below), whose sum is σ = 404120640. Its totient is φ = 37620288.

The previous prime is 133464979. The next prime is 133464997. The reversal of 133464996 is 699464331.

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

It is not an unprimeable number, because it can be changed into a prime (133464997) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 187890 + ... + 188598.

It is an arithmetic number, because the mean of its divisors is an integer number (3367672).

Almost surely, 2133464996 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133464996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202060320).

133464996 is an abundant number, since it is smaller than the sum of its proper divisors (270655644).

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

133464996 is a wasteful number, since it uses less digits than its factorization.

133464996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 804 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 133464996 is about 11552.7051377589. The cubic root of 133464996 is about 511.0410568482.

The spelling of 133464996 in words is "one hundred thirty-three million, four hundred sixty-four thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 83 84 108 126 162 166 189 249 252 324 332 378 498 567 581 709 747 756 996 1134 1162 1418 1494 1743 2127 2241 2268 2324 2836 2988 3486 4254 4482 4963 5229 6381 6723 6972 8508 8964 9926 10458 12762 13446 14889 15687 19143 19852 20916 25524 26892 29778 31374 38286 44667 47061 57429 58847 59556 62748 76572 89334 94122 114858 117694 134001 176541 178668 188244 229716 235388 268002 353082 402003 411929 529623 536004 706164 804006 823858 1059246 1235787 1588869 1608012 1647716 2118492 2471574 3177738 3707361 4766607 4943148 6355476 7414722 9533214 11122083 14829444 19066428 22244166 33366249 44488332 66732498 133464996