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1353424660 = 2257311092861
BaseRepresentation
bin101000010101011…
…1001111100010100
310111022201002121021
41100222321330110
510232434042120
6342144330524
745352630330
oct12052717424
93438632537
101353424660
11634a77a85
12319313a44
131875220c3
14cba6a7c0
157dc44aaa
hex50ab9f14

1353424660 has 96 divisors (see below), whose sum is σ = 3384944640. Its totient is φ = 444787200.

The previous prime is 1353424609. The next prime is 1353424661. The reversal of 1353424660 is 664243531.

It is a super-2 number, since 2×13534246602 = 3663516620592231200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353424661) 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, 471630 + ... + 474490.

It is an arithmetic number, because the mean of its divisors is an integer number (35259840).

Almost surely, 21353424660 is an apocalyptic number.

1353424660 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 1353424660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692472320).

1353424660 is an abundant number, since it is smaller than the sum of its proper divisors (2031519980).

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

1353424660 is a wasteful number, since it uses less digits than its factorization.

1353424660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3017 (or 3015 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

The square root of 1353424660 is about 36788.9203429511. The cubic root of 1353424660 is about 1106.1432200977.

The spelling of 1353424660 in words is "one billion, three hundred fifty-three million, four hundred twenty-four thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 109 124 140 155 217 218 310 434 436 545 620 763 868 1085 1090 1526 2170 2180 2861 3052 3379 3815 4340 5722 6758 7630 11444 13516 14305 15260 16895 20027 23653 28610 33790 40054 47306 57220 67580 80108 88691 94612 100135 118265 177382 200270 236530 311849 354764 400540 443455 473060 620837 623698 886910 1241674 1247396 1559245 1773820 2182943 2483348 3104185 3118490 4365886 6208370 6236980 8731772 9667319 10914715 12416740 19334638 21829430 38669276 43658860 48336595 67671233 96673190 135342466 193346380 270684932 338356165 676712330 1353424660