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134580740 = 225747113181
BaseRepresentation
bin10000000010110…
…00101000000100
3100101020102001212
420001120220010
5233423040430
621204310552
73222626450
oct1001305004
9311212055
10134580740
1169a70558
12390a2458
1321b60798
1413c33660
15bc35b95
hex8058a04

134580740 has 96 divisors (see below), whose sum is σ = 334623744. Its totient is φ = 44513280.

The previous prime is 134580739. The next prime is 134580749. The reversal of 134580740 is 47085431.

It is a super-2 number, since 2×1345807402 = 36223951157895200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 134580697 and 134580706.

It is not an unprimeable number, because it can be changed into a prime (134580749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 743450 + ... + 743630.

It is an arithmetic number, because the mean of its divisors is an integer number (3485664).

Almost surely, 2134580740 is an apocalyptic number.

134580740 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 134580740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167311872).

134580740 is an abundant number, since it is smaller than the sum of its proper divisors (200043004).

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

134580740 is a wasteful number, since it uses less digits than its factorization.

134580740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 134580740 is about 11600.8939310727. The cubic root of 134580740 is about 512.4611781023.

The spelling of 134580740 in words is "one hundred thirty-four million, five hundred eighty thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 94 113 140 181 188 226 235 329 362 452 470 565 658 724 791 905 940 1130 1267 1316 1582 1645 1810 2260 2534 3164 3290 3620 3955 5068 5311 6335 6580 7910 8507 10622 12670 15820 17014 20453 21244 25340 26555 34028 37177 40906 42535 53110 59549 74354 81812 85070 102265 106220 119098 143171 148708 170140 185885 204530 238196 286342 297745 371770 409060 572684 595490 715855 743540 961291 1190980 1431710 1922582 2863420 3845164 4806455 6729037 9612910 13458074 19225820 26916148 33645185 67290370 134580740