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134015976 = 23323197619
BaseRepresentation
bin1111111110011…
…10101111101000
3100100011201100200
413333032233220
5233302002401
621144232200
73215055063
oct777165750
9310151320
10134015976
1169715206
1238a6b660
13219c36c3
1413b278da
15bb73686
hex7fcebe8

134015976 has 96 divisors (see below), whose sum is σ = 379142400. Its totient is φ = 42716160.

The previous prime is 134015951. The next prime is 134015977. The reversal of 134015976 is 679510431.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 134015976.

It is not an unprimeable number, because it can be changed into a prime (134015977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216195 + ... + 216813.

It is an arithmetic number, because the mean of its divisors is an integer number (3949400).

Almost surely, 2134015976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134015976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189571200).

134015976 is an abundant number, since it is smaller than the sum of its proper divisors (245126424).

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

134015976 is a wasteful number, since it uses less digits than its factorization.

134015976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 134015976 is about 11576.5269403220. The cubic root of 134015976 is about 511.7433304168.

The spelling of 134015976 in words is "one hundred thirty-four million, fifteen thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 97 124 186 194 248 279 291 372 388 558 582 619 744 776 873 1116 1164 1238 1746 1857 2232 2328 2476 3007 3492 3714 4952 5571 6014 6984 7428 9021 11142 12028 14856 18042 19189 22284 24056 27063 36084 38378 44568 54126 57567 60043 72168 76756 108252 115134 120086 153512 172701 180129 216504 230268 240172 345402 360258 460536 480344 540387 690804 720516 1080774 1381608 1441032 1861333 2161548 3722666 4323096 5583999 7445332 11167998 14890664 16751997 22335996 33503994 44671992 67007988 134015976