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134058996 = 223323291861
BaseRepresentation
bin1111111110110…
…01001111110100
3100100020220101000
413333121033310
5233304341441
621145203300
73215324361
oct777311764
9310226330
10134058996
1169744565
1238a90530
1321a0a166
1413b39468
15bb812b6
hex7fd93f4

134058996 has 96 divisors (see below), whose sum is σ = 375379200. Its totient is φ = 41247360.

The previous prime is 134058979. The next prime is 134059039. The reversal of 134058996 is 699850431.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 71106 + ... + 72966.

It is an arithmetic number, because the mean of its divisors is an integer number (3910200).

Almost surely, 2134058996 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 134058996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187689600).

134058996 is an abundant number, since it is smaller than the sum of its proper divisors (241320204).

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

134058996 is a wasteful number, since it uses less digits than its factorization.

134058996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1926 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 134058996 is about 11578.3848614563. The cubic root of 134058996 is about 511.7980822046.

The spelling of 134058996 in words is "one hundred thirty-four million, fifty-eight thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 23 27 29 36 46 54 58 69 87 92 108 116 138 174 207 261 276 348 414 522 621 667 783 828 1044 1242 1334 1566 1861 2001 2484 2668 3132 3722 4002 5583 6003 7444 8004 11166 12006 16749 18009 22332 24012 33498 36018 42803 50247 53969 66996 72036 85606 100494 107938 128409 161907 171212 200988 215876 256818 323814 385227 485721 513636 647628 770454 971442 1155681 1241287 1457163 1540908 1942884 2311362 2482574 2914326 3723861 4622724 4965148 5828652 7447722 11171583 14895444 22343166 33514749 44686332 67029498 134058996