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133886680 = 23523269541
BaseRepresentation
bin1111111101011…
…11001011011000
3100022221010222221
413332233023120
5233233333210
621141353424
73214006114
oct776571330
9308833887
10133886680
1169637054
1238a08874
13219798b5
1413ad2744
15bb4a1da
hex7faf2d8

133886680 has 64 divisors (see below), whose sum is σ = 316094400. Its totient is φ = 50941440.

The previous prime is 133886671. The next prime is 133886681. The reversal of 133886680 is 86688331.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133886681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247210 + ... + 247750.

It is an arithmetic number, because the mean of its divisors is an integer number (4938975).

Almost surely, 2133886680 is an apocalyptic number.

133886680 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 133886680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158047200).

133886680 is an abundant number, since it is smaller than the sum of its proper divisors (182207720).

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

133886680 is a wasteful number, since it uses less digits than its factorization.

133886680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The square root of 133886680 is about 11570.9411890304. The cubic root of 133886680 is about 511.5787041344.

The spelling of 133886680 in words is "one hundred thirty-three million, eight hundred eighty-six thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 269 460 538 541 920 1076 1082 1345 2152 2164 2690 2705 4328 5380 5410 6187 10760 10820 12374 12443 21640 24748 24886 30935 49496 49772 61870 62215 99544 123740 124430 145529 247480 248860 291058 497720 582116 727645 1164232 1455290 2910580 3347167 5821160 6694334 13388668 16735835 26777336 33471670 66943340 133886680