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133511796 = 2232112331447
BaseRepresentation
bin1111111010100…
…11101001110100
3100022020002202100
413331103221310
5233134334141
621125342100
73210555135
oct775235164
9308202670
10133511796
1169400430
1238867930
1321878082
1413a35c8c
15bac40b6
hex7f53a74

133511796 has 72 divisors (see below), whose sum is σ = 370004544. Its totient is φ = 40256640.

The previous prime is 133511789. The next prime is 133511797. The reversal of 133511796 is 697115331.

133511796 is a `hidden beast` number, since 133 + 511 + 7 + 9 + 6 = 666.

It is a super-2 number, since 2×1335117962 = 35650799342291232, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

133511796 is a Rhonda number in base 10.

Its product of digits (17010) is a multiple of the sum of its prime factors (1701).

It is a self number, because there is not a number n which added to its sum of digits gives 133511796.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133511797) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 91545 + ... + 92991.

It is an arithmetic number, because the mean of its divisors is an integer number (5138952).

Almost surely, 2133511796 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 133511796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185002272).

133511796 is an abundant number, since it is smaller than the sum of its proper divisors (236492748).

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

133511796 is a wasteful number, since it uses less digits than its factorization.

133511796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1701 (or 1696 counting only the distinct ones).

The product of its digits is 17010, while the sum is 36.

The square root of 133511796 is about 11554.7304598593. The cubic root of 133511796 is about 511.1007826870.

It can be divided in two parts, 1335 and 11796, that added together give a palindrome (13131).

The spelling of 133511796 in words is "one hundred thirty-three million, five hundred eleven thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 233 396 466 699 932 1398 1447 2097 2563 2796 2894 4194 4341 5126 5788 7689 8388 8682 10252 13023 15378 15917 17364 23067 26046 30756 31834 46134 47751 52092 63668 92268 95502 143253 191004 286506 337151 573012 674302 1011453 1348604 2022906 3034359 3708661 4045812 6068718 7417322 11125983 12137436 14834644 22251966 33377949 44503932 66755898 133511796