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12156690 = 2357136173
BaseRepresentation
bin101110010111…
…111100010010
3211212121211210
4232113330102
511103003230
61112320550
7205221150
oct56277422
924777753
1012156690
116953557
1240a3156
132698410
1418863d0
151101eb0
hexb97f12

12156690 has 128 divisors (see below), whose sum is σ = 36997632. Its totient is φ = 2488320.

The previous prime is 12156671. The next prime is 12156701. The reversal of 12156690 is 9665121.

It is a super-3 number, since 3×121566903 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 166494 + ... + 166566.

It is an arithmetic number, because the mean of its divisors is an integer number (289044).

Almost surely, 212156690 is an apocalyptic number.

12156690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12156690 is the 2847-th pentagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12156690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18498816).

12156690 is an abundant number, since it is smaller than the sum of its proper divisors (24840942).

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

12156690 is a wasteful number, since it uses less digits than its factorization.

12156690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164.

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 12156690 is about 3486.6445187314. The cubic root of 12156690 is about 229.9350162980.

The spelling of 12156690 in words is "twelve million, one hundred fifty-six thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 61 65 70 73 78 91 105 122 130 146 182 183 195 210 219 273 305 365 366 390 427 438 455 511 546 610 730 793 854 910 915 949 1022 1095 1281 1365 1533 1586 1830 1898 2135 2190 2379 2555 2562 2730 2847 3066 3965 4270 4453 4745 4758 5110 5551 5694 6405 6643 7665 7930 8906 9490 11102 11895 12810 13286 13359 14235 15330 16653 19929 22265 23790 26718 27755 28470 31171 33215 33306 39858 44530 55510 57889 62342 66430 66795 83265 93513 99645 115778 133590 155855 166530 173667 187026 199290 289445 311710 347334 405223 467565 578890 810446 868335 935130 1215669 1736670 2026115 2431338 4052230 6078345 12156690