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133979940 = 223352271093
BaseRepresentation
bin1111111110001…
…01111100100100
3100100002212221000
413333011330210
5233244324230
621143353300
73214545033
oct777057444
9310085830
10133979940
11696a0126
1238a52830
13219b0193
1413b1871a
15bb67b60
hex7fc5f24

133979940 has 96 divisors (see below), whose sum is σ = 419045760. Its totient is φ = 35538048.

The previous prime is 133979929. The next prime is 133979947. The reversal of 133979940 is 49979331.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (133979947) 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 31 ways as a sum of consecutive naturals, for example, 122034 + ... + 123126.

It is an arithmetic number, because the mean of its divisors is an integer number (4365060).

Almost surely, 2133979940 is an apocalyptic number.

133979940 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 133979940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209522880).

133979940 is an abundant number, since it is smaller than the sum of its proper divisors (285065820).

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

133979940 is a wasteful number, since it uses less digits than its factorization.

133979940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 133979940 is about 11574.9704103293. The cubic root of 133979940 is about 511.6974581849.

The spelling of 133979940 in words is "one hundred thirty-three million, nine hundred seventy-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 227 270 454 540 681 908 1093 1135 1362 2043 2186 2270 2724 3279 3405 4086 4372 4540 5465 6129 6558 6810 8172 9837 10215 10930 12258 13116 13620 16395 19674 20430 21860 24516 29511 30645 32790 39348 40860 49185 59022 61290 65580 98370 118044 122580 147555 196740 248111 295110 496222 590220 744333 992444 1240555 1488666 2232999 2481110 2977332 3721665 4465998 4962220 6698997 7443330 8931996 11164995 13397994 14886660 22329990 26795988 33494985 44659980 66989970 133979940