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134794512 = 24321922593
BaseRepresentation
bin10000000100011…
…00110100010000
3100101122021022100
420002030310100
5234001411022
621213040400
73224506626
oct1002146420
9311567270
10134794512
116a0a7126
1239186100
1321c06b88
1413c8b516
15bc791ac
hex808cd10

134794512 has 90 divisors (see below), whose sum is σ = 398290542. Its totient is φ = 42550272.

The previous prime is 134794487. The next prime is 134794519. The reversal of 134794512 is 215497431.

134794512 is a `hidden beast` number, since 13 + 47 + 94 + 512 = 666.

It can be written as a sum of positive squares in only one way, i.e., 119771136 + 15023376 = 10944^2 + 3876^2 .

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

It is not an unprimeable number, because it can be changed into a prime (134794519) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 50688 + ... + 53280.

Almost surely, 2134794512 is an apocalyptic number.

134794512 is a gapful number since it is divisible by the number (12) 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 134794512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199145271).

134794512 is an abundant number, since it is smaller than the sum of its proper divisors (263496030).

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

134794512 is a wasteful number, since it uses less digits than its factorization.

134794512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2645 (or 2617 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 134794512 is about 11610.1038755043. The cubic root of 134794512 is about 512.7323706916.

It can be divided in two parts, 1347 and 94512, that added together give a palindrome (95859).

The spelling of 134794512 in words is "one hundred thirty-four million, seven hundred ninety-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 361 456 684 722 912 1083 1368 1444 2166 2593 2736 2888 3249 4332 5186 5776 6498 7779 8664 10372 12996 15558 17328 20744 23337 25992 31116 41488 46674 49267 51984 62232 93348 98534 124464 147801 186696 197068 295602 373392 394136 443403 591204 788272 886806 936073 1182408 1773612 1872146 2364816 2808219 3547224 3744292 5616438 7094448 7488584 8424657 11232876 14977168 16849314 22465752 33698628 44931504 67397256 134794512