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12157380 = 223251729137
BaseRepresentation
bin101110011000…
…000111000100
3211212122210100
4232120013010
511103014010
61112324100
7205223154
oct56300704
924778710
1012157380
116954024
1240a3630
132698821
141886764
1511022c0
hexb981c4

12157380 has 144 divisors (see below), whose sum is σ = 40687920. Its totient is φ = 2924544.

The previous prime is 12157367. The next prime is 12157391. The reversal of 12157380 is 8375121.

12157380 is a `hidden beast` number, since 12 + 1 + 573 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 213444 + 11943936 = 462^2 + 3456^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88672 + ... + 88808.

It is an arithmetic number, because the mean of its divisors is an integer number (282555).

Almost surely, 212157380 is an apocalyptic number.

12157380 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 12157380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20343960).

12157380 is an abundant number, since it is smaller than the sum of its proper divisors (28530540).

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

12157380 is a wasteful number, since it uses less digits than its factorization.

12157380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 12157380 is about 3486.7434663307. The cubic root of 12157380 is about 229.9393664996.

The spelling of 12157380 in words is "twelve million, one hundred fifty-seven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 29 30 34 36 45 51 58 60 68 85 87 90 102 116 137 145 153 170 174 180 204 255 261 274 290 306 340 348 411 435 493 510 522 548 580 612 685 765 822 870 986 1020 1044 1233 1305 1370 1479 1530 1644 1740 1972 2055 2329 2465 2466 2610 2740 2958 3060 3973 4110 4437 4658 4930 4932 5220 5916 6165 6987 7395 7946 8220 8874 9316 9860 11645 11919 12330 13974 14790 15892 17748 19865 20961 22185 23290 23838 24660 27948 29580 34935 35757 39730 41922 44370 46580 47676 59595 67541 69870 71514 79460 83844 88740 104805 119190 135082 139740 143028 178785 202623 209610 238380 270164 337705 357570 405246 419220 607869 675410 715140 810492 1013115 1215738 1350820 2026230 2431476 3039345 4052460 6078690 12157380