Search a number
-
+
12955140 = 2234511727
BaseRepresentation
bin110001011010…
…111000000100
3220101012010000
4301122320010
511304031030
61141401300
7215055042
oct61327004
926335100
1012955140
117349430
124409230
1328b7983
141a13392
15120d860
hexc5ae04

12955140 has 120 divisors (see below), whose sum is σ = 44396352. Its totient is φ = 3136320.

The previous prime is 12955133. The next prime is 12955147. The reversal of 12955140 is 4155921.

It is an interprime number because it is at equal distance from previous prime (12955133) and next prime (12955147).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12955147) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17457 + ... + 18183.

Almost surely, 212955140 is an apocalyptic number.

12955140 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 12955140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22198176).

12955140 is an abundant number, since it is smaller than the sum of its proper divisors (31441212).

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

12955140 is a wasteful number, since it uses less digits than its factorization.

12955140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 12955140 is about 3599.3249367069. The cubic root of 12955140 is about 234.8626932919.

The spelling of 12955140 in words is "twelve million, nine hundred fifty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 270 297 324 330 396 405 495 540 594 660 727 810 891 990 1188 1454 1485 1620 1782 1980 2181 2908 2970 3564 3635 4362 4455 5940 6543 7270 7997 8724 8910 10905 13086 14540 15994 17820 19629 21810 23991 26172 31988 32715 39258 39985 43620 47982 58887 65430 71973 78516 79970 95964 98145 117774 119955 130860 143946 159940 196290 215919 235548 239910 287892 294435 359865 392580 431838 479820 588870 647757 719730 863676 1079595 1177740 1295514 1439460 2159190 2591028 3238785 4318380 6477570 12955140