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1297890432 = 27331722091
BaseRepresentation
bin100110101011100…
…0011110010000000
310100110012122222000
41031113003302000
510124224443212
6332442144000
744106613056
oct11527036200
93313178860
101297890432
11606697323
123027b2000
13178b79a07
14c45321d6
1578e251dc
hex4d5c3c80

1297890432 has 128 divisors (see below), whose sum is σ = 4056091200. Its totient is φ = 407162880.

The previous prime is 1297890431. The next prime is 1297890469. The reversal of 1297890432 is 2340987921.

1297890432 is a `hidden beast` number, since 129 + 7 + 8 + 90 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (45) 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 (1297890431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47707 + ... + 69797.

Almost surely, 21297890432 is an apocalyptic number.

1297890432 is a gapful number since it is divisible by the number (12) 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 1297890432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2028045600).

1297890432 is an abundant number, since it is smaller than the sum of its proper divisors (2758200768).

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

1297890432 is a wasteful number, since it uses less digits than its factorization.

1297890432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22131 (or 22113 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1297890432 is about 36026.2464322888. The cubic root of 1297890432 is about 1090.8022128021.

The spelling of 1297890432 in words is "one billion, two hundred ninety-seven million, eight hundred ninety thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 272 288 306 384 408 432 459 544 576 612 816 864 918 1088 1152 1224 1632 1728 1836 2176 2448 3264 3456 3672 4896 6528 7344 9792 14688 19584 22091 29376 44182 58752 66273 88364 132546 176728 198819 265092 353456 375547 397638 530184 596457 706912 751094 795276 1060368 1126641 1192914 1413824 1502188 1590552 2120736 2253282 2385828 2827648 3004376 3181104 3379923 4241472 4506564 4771656 6008752 6362208 6759846 8482944 9013128 9543312 10139769 12017504 12724416 13519692 18026256 19086624 20279538 24035008 25448832 27039384 36052512 38173248 40559076 48070016 54078768 72105024 76346496 81118152 108157536 144210048 162236304 216315072 324472608 432630144 648945216 1297890432