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134037696 = 2631383647
BaseRepresentation
bin1111111110101…
…00000011000000
3100100012211011010
413333110003000
5233303201241
621144520520
73215205312
oct777240300
9310184133
10134037696
116972a561
1238a80140
1321a00560
1413b317b2
15bb79d16
hex7fd40c0

134037696 has 112 divisors (see below), whose sum is σ = 387120384. Its totient is φ = 40682496.

The previous prime is 134037691. The next prime is 134037703. The reversal of 134037696 is 696730431.

It is a super-2 number, since 2×1340376962 = 35932207897976832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (134037691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206845 + ... + 207491.

It is an arithmetic number, because the mean of its divisors is an integer number (3456432).

Almost surely, 2134037696 is an apocalyptic number.

134037696 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 134037696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193560192).

134037696 is an abundant number, since it is smaller than the sum of its proper divisors (253082688).

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

134037696 is a wasteful number, since it uses less digits than its factorization.

134037696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 39.

The square root of 134037696 is about 11577.4650075049. The cubic root of 134037696 is about 511.7709750431.

The spelling of 134037696 in words is "one hundred thirty-four million, thirty-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 83 96 104 156 166 192 208 249 312 332 416 498 624 647 664 832 996 1079 1248 1294 1328 1941 1992 2158 2496 2588 2656 3237 3882 3984 4316 5176 5312 6474 7764 7968 8411 8632 10352 12948 15528 15936 16822 17264 20704 25233 25896 31056 33644 34528 41408 50466 51792 53701 62112 67288 69056 100932 103584 107402 124224 134576 161103 201864 207168 214804 269152 322206 403728 429608 538304 644412 698113 807456 859216 1288824 1396226 1614912 1718432 2094339 2577648 2792452 3436864 4188678 5155296 5584904 8377356 10310592 11169808 16754712 22339616 33509424 44679232 67018848 134037696