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133311990 = 23574431433
BaseRepresentation
bin1111111001000…
…10110111110110
3100021211221200010
413330202313312
5233111440430
621121201050
73206063460
oct774426766
9307757603
10133311990
11692842a9
1238790186
1321808146
14139c3130
15ba84cb0
hex7f22df6

133311990 has 64 divisors (see below), whose sum is σ = 366736896. Its totient is φ = 30381312.

The previous prime is 133311989. The next prime is 133311991. The reversal of 133311990 is 99113331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (133311989) and next prime (133311991).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133311991) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92314 + ... + 93746.

It is an arithmetic number, because the mean of its divisors is an integer number (5730264).

Almost surely, 2133311990 is an apocalyptic number.

133311990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133311990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183368448).

133311990 is an abundant number, since it is smaller than the sum of its proper divisors (233424906).

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

133311990 is a wasteful number, since it uses less digits than its factorization.

133311990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1893.

The product of its (nonzero) digits is 2187, while the sum is 30.

The square root of 133311990 is about 11546.0811533611. The cubic root of 133311990 is about 510.8456941450.

The spelling of 133311990 in words is "one hundred thirty-three million, three hundred eleven thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 443 886 1329 1433 2215 2658 2866 3101 4299 4430 6202 6645 7165 8598 9303 10031 13290 14330 15505 18606 20062 21495 30093 31010 42990 46515 50155 60186 93030 100310 150465 300930 634819 1269638 1904457 3174095 3808914 4443733 6348190 8887466 9522285 13331199 19044570 22218665 26662398 44437330 66655995 133311990