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133402040 = 23519191919
BaseRepresentation
bin1111111001110…
…00110110111000
3100022000112012022
413330320312320
5233122331130
621123134012
73206620142
oct774706670
9308015168
10133402040
1169335a22
1238814308
132183a125
1413a07c92
15baa17e5
hex7f38db8

133402040 has 64 divisors (see below), whose sum is σ = 317952000. Its totient is φ = 50232960.

The previous prime is 133402019. The next prime is 133402079. The reversal of 133402040 is 40204331.

It is a super-2 number, since 2×1334020402 = 35592208552323200, which contains 22 as substring.

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, 144701 + ... + 145619.

It is an arithmetic number, because the mean of its divisors is an integer number (4968000).

Almost surely, 2133402040 is an apocalyptic number.

133402040 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 133402040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158976000).

133402040 is an abundant number, since it is smaller than the sum of its proper divisors (184549960).

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

133402040 is a wasteful number, since it uses less digits than its factorization.

133402040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 133402040 is about 11549.9800865629. The cubic root of 133402040 is about 510.9606908052.

Adding to 133402040 its reverse (40204331), we get a palindrome (173606371).

The spelling of 133402040 in words is "one hundred thirty-three million, four hundred two thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 191 380 382 760 764 919 955 1528 1838 1910 3629 3676 3820 4595 7258 7352 7640 9190 14516 17461 18145 18380 29032 34922 36290 36760 69844 72580 87305 139688 145160 174610 175529 349220 351058 698440 702116 877645 1404232 1755290 3335051 3510580 6670102 7021160 13340204 16675255 26680408 33350510 66701020 133402040