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66137460 = 2235472499
BaseRepresentation
bin1111110001001…
…0110101110100
311121110010112120
43330102311310
5113412344320
610321315540
71432105404
oct374226564
9147403476
1066137460
1134373064
121a195bb0
13109186bc
148ad8804
155c16440
hex3f12d74

66137460 has 72 divisors (see below), whose sum is σ = 189588000. Its totient is φ = 17226816.

The previous prime is 66137459. The next prime is 66137479. The reversal of 66137460 is 6473166.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132291 + ... + 132789.

Almost surely, 266137460 is an apocalyptic number.

66137460 is a gapful number since it is divisible by the number (60) 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 66137460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94794000).

66137460 is an abundant number, since it is smaller than the sum of its proper divisors (123450540).

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

66137460 is a wasteful number, since it uses less digits than its factorization.

66137460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 66137460 is about 8132.4940823833. The cubic root of 66137460 is about 404.4043675375.

The spelling of 66137460 in words is "sixty-six million, one hundred thirty-seven thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 499 564 705 940 998 1410 1497 1996 2209 2495 2820 2994 4418 4990 5988 6627 7485 8836 9980 11045 13254 14970 22090 23453 26508 29940 33135 44180 46906 66270 70359 93812 117265 132540 140718 234530 281436 351795 469060 703590 1102291 1407180 2204582 3306873 4409164 5511455 6613746 11022910 13227492 16534365 22045820 33068730 66137460