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134016740 = 225111347997
BaseRepresentation
bin1111111110011…
…10111011100100
3100100011202101222
413333032323210
5233302013430
621144235512
73215060234
oct777167344
9310152358
10134016740
1169715840
1238a6bb98
13219c3b60
1413b27cc4
15bb739e5
hex7fceee4

134016740 has 96 divisors (see below), whose sum is σ = 338010624. Its totient is φ = 43983360.

The previous prime is 134016737. The next prime is 134016761. The reversal of 134016740 is 47610431.

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 133922 + ... + 134918.

It is an arithmetic number, because the mean of its divisors is an integer number (3520944).

Almost surely, 2134016740 is an apocalyptic number.

134016740 is a gapful number since it is divisible by the number (10) 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 134016740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169005312).

134016740 is an abundant number, since it is smaller than the sum of its proper divisors (203993884).

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

134016740 is a wasteful number, since it uses less digits than its factorization.

134016740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 134016740 is about 11576.5599380818. The cubic root of 134016740 is about 511.7443028659.

The spelling of 134016740 in words is "one hundred thirty-four million, sixteen thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 47 52 55 65 94 110 130 143 188 220 235 260 286 470 517 572 611 715 940 997 1034 1222 1430 1994 2068 2444 2585 2860 3055 3988 4985 5170 6110 6721 9970 10340 10967 12220 12961 13442 19940 21934 25922 26884 33605 43868 46859 51844 54835 64805 67210 93718 109670 129610 134420 142571 187436 219340 234295 259220 285142 468590 515449 570284 609167 712855 937180 1030898 1218334 1425710 2061796 2436668 2577245 2851420 3045835 5154490 6091670 6700837 10308980 12183340 13401674 26803348 33504185 67008370 134016740