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12801480 = 2335107997
BaseRepresentation
bin110000110101…
…010111001000
3220002101022220
4300311113020
511234121410
61134214040
7213545046
oct60652710
926071286
1012801480
117253a3a
124354320
132862a53
1419b3396
1511cd070
hexc355c8

12801480 has 64 divisors (see below), whose sum is σ = 38802240. Its totient is φ = 3378432.

The previous prime is 12801479. The next prime is 12801533. The reversal of 12801480 is 8410821.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12801480.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12342 + ... + 13338.

It is an arithmetic number, because the mean of its divisors is an integer number (606285).

Almost surely, 212801480 is an apocalyptic number.

12801480 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 12801480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19401120).

12801480 is an abundant number, since it is smaller than the sum of its proper divisors (26000760).

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

12801480 is a wasteful number, since it uses less digits than its factorization.

12801480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 12801480 is about 3577.9155943091. The cubic root of 12801480 is about 233.9304344309.

The spelling of 12801480 in words is "twelve million, eight hundred one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 214 321 428 535 642 856 997 1070 1284 1605 1994 2140 2568 2991 3210 3988 4280 4985 5982 6420 7976 9970 11964 12840 14955 19940 23928 29910 39880 59820 106679 119640 213358 320037 426716 533395 640074 853432 1066790 1280148 1600185 2133580 2560296 3200370 4267160 6400740 12801480