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12997380 = 22351147419
BaseRepresentation
bin110001100101…
…001100000100
3220110100001110
4301211030010
511311404010
61142325020
7215322144
oct61451404
926410043
1012997380
117378140
124429770
132900c76
141a24924
15121b120
hexc65304

12997380 has 96 divisors (see below), whose sum is σ = 40642560. Its totient is φ = 3076480.

The previous prime is 12997379. The next prime is 12997381. The reversal of 12997380 is 8379921.

12997380 = T1695 + T1696 + ... + T1703.

It is an interprime number because it is at equal distance from previous prime (12997379) and next prime (12997381).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (12997381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30811 + ... + 31229.

It is an arithmetic number, because the mean of its divisors is an integer number (423360).

Almost surely, 212997380 is an apocalyptic number.

12997380 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 12997380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20321280).

12997380 is an abundant number, since it is smaller than the sum of its proper divisors (27645180).

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

12997380 is a wasteful number, since it uses less digits than its factorization.

12997380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 12997380 is about 3605.1879285274. The cubic root of 12997380 is about 235.1176715649.

The spelling of 12997380 in words is "twelve million, nine hundred ninety-seven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 47 55 60 66 94 110 132 141 165 188 220 235 282 330 419 470 517 564 660 705 838 940 1034 1257 1410 1551 1676 2068 2095 2514 2585 2820 3102 4190 4609 5028 5170 6204 6285 7755 8380 9218 10340 12570 13827 15510 18436 19693 23045 25140 27654 31020 39386 46090 55308 59079 69135 78772 92180 98465 118158 138270 196930 216623 236316 276540 295395 393860 433246 590790 649869 866492 1083115 1181580 1299738 2166230 2599476 3249345 4332460 6498690 12997380