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12797460 = 22335131823
BaseRepresentation
bin110000110100…
…011000010100
3220002011211000
4300310120110
511234004320
61134143300
7213530244
oct60643024
926064730
1012797460
117250a15
124351b30
132860c80
1419b1b24
1511cbc90
hexc34614

12797460 has 96 divisors (see below), whose sum is σ = 42900480. Its totient is φ = 3148416.

The previous prime is 12797459. The next prime is 12797467. The reversal of 12797460 is 6479721.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12797467) 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, 6109 + ... + 7931.

It is an arithmetic number, because the mean of its divisors is an integer number (446880).

Almost surely, 212797460 is an apocalyptic number.

12797460 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 12797460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21450240).

12797460 is an abundant number, since it is smaller than the sum of its proper divisors (30103020).

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

12797460 is a wasteful number, since it uses less digits than its factorization.

12797460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1854 (or 1846 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 12797460 is about 3577.3537705964. The cubic root of 12797460 is about 233.9059451062.

The spelling of 12797460 in words is "twelve million, seven hundred ninety-seven thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 1823 2340 3510 3646 5469 7020 7292 9115 10938 16407 18230 21876 23699 27345 32814 36460 47398 49221 54690 65628 71097 82035 94796 98442 109380 118495 142194 164070 196884 213291 236990 246105 284388 328140 355485 426582 473980 492210 639873 710970 853164 984420 1066455 1279746 1421940 2132910 2559492 3199365 4265820 6398730 12797460