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133951216 = 2471923313
BaseRepresentation
bin1111111101111…
…10111011110000
3100100001102112011
413332332323300
5233242414331
621143012304
73214365220
oct776767360
9310042464
10133951216
1169680593
1238a3a094
13219a0099
1413b0c080
15bb5e3b1
hex7fbeef0

133951216 has 60 divisors (see below), whose sum is σ = 313133232. Its totient is φ = 54369792.

The previous prime is 133951199. The next prime is 133951219. The reversal of 133951216 is 612159331.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133951219) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38776 + ... + 42088.

Almost surely, 2133951216 is an apocalyptic number.

133951216 is a gapful number since it is divisible by the number (16) 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 133951216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156566616).

133951216 is an abundant number, since it is smaller than the sum of its proper divisors (179182016).

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

133951216 is a wasteful number, since it uses less digits than its factorization.

133951216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3366 (or 3341 counting only the distinct ones).

The product of its digits is 4860, while the sum is 31.

The square root of 133951216 is about 11573.7295631097. The cubic root of 133951216 is about 511.6608879135.

The spelling of 133951216 in words is "one hundred thirty-three million, nine hundred fifty-one thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 361 532 722 1064 1444 2128 2527 2888 3313 5054 5776 6626 10108 13252 20216 23191 26504 40432 46382 53008 62947 92764 125894 185528 251788 371056 440629 503576 881258 1007152 1195993 1762516 2391986 3525032 4783972 7050064 8371951 9567944 16743902 19135888 33487804 66975608 133951216