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12262980 = 22351931347
BaseRepresentation
bin101110110001…
…111001000100
3212002000122110
4232301321010
511114403410
61114501020
7206143062
oct56617104
925060573
1012262980
116a163a4
124134770
132704902
1418b3032
151123720
hexbb1e44

12262980 has 96 divisors (see below), whose sum is σ = 37416960. Its totient is φ = 2989440.

The previous prime is 12262937. The next prime is 12263029. The reversal of 12262980 is 8926221.

12262980 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 35167 + ... + 35513.

It is an arithmetic number, because the mean of its divisors is an integer number (389760).

Almost surely, 212262980 is an apocalyptic number.

12262980 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 12262980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18708480).

12262980 is an abundant number, since it is smaller than the sum of its proper divisors (25153980).

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

12262980 is a wasteful number, since it uses less digits than its factorization.

12262980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 12262980 is about 3501.8537947778. The cubic root of 12262980 is about 230.6032055403.

The spelling of 12262980 in words is "twelve million, two hundred sixty-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 31 38 57 60 62 76 93 95 114 124 155 186 190 228 285 310 347 372 380 465 570 589 620 694 930 1041 1140 1178 1388 1735 1767 1860 2082 2356 2945 3470 3534 4164 5205 5890 6593 6940 7068 8835 10410 10757 11780 13186 17670 19779 20820 21514 26372 32271 32965 35340 39558 43028 53785 64542 65930 79116 98895 107570 129084 131860 161355 197790 204383 215140 322710 395580 408766 613149 645420 817532 1021915 1226298 2043830 2452596 3065745 4087660 6131490 12262980