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1297493000 = 23535324481
BaseRepresentation
bin100110101010110…
…0010110000001000
310100102110110210022
41031111202300020
510124124234000
6332425440012
744103336266
oct11525426010
93312413708
101297493000
11606445771
12302640008
13178a6ab4b
14c446b436
1578d97585
hex4d562c08

1297493000 has 64 divisors (see below), whose sum is σ = 3093545520. Its totient is φ = 509184000.

The previous prime is 1297492993. The next prime is 1297493017. The reversal of 1297493000 is 3947921.

It can be written as a sum of positive squares in 8 ways, for example, as 3076516 + 1294416484 = 1754^2 + 35978^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40760 + ... + 65240.

Almost surely, 21297493000 is an apocalyptic number.

1297493000 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 1297493000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546772760).

1297493000 is an abundant number, since it is smaller than the sum of its proper divisors (1796052520).

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

1297493000 is a wasteful number, since it uses less digits than its factorization.

1297493000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24555 (or 24541 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 35.

The square root of 1297493000 is about 36020.7301425165. The cubic root of 1297493000 is about 1090.6908618611.

The spelling of 1297493000 in words is "one billion, two hundred ninety-seven million, four hundred ninety-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 125 200 212 250 265 424 500 530 1000 1060 1325 2120 2650 5300 6625 10600 13250 24481 26500 48962 53000 97924 122405 195848 244810 489620 612025 979240 1224050 1297493 2448100 2594986 3060125 4896200 5189972 6120250 6487465 10379944 12240500 12974930 24481000 25949860 32437325 51899720 64874650 129749300 162186625 259498600 324373250 648746500 1297493000