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1253670340 = 2251312737967
BaseRepresentation
bin100101010111001…
…0111110111000100
310020101000001101211
41022232113313010
510031414422330
6324222301204
743032010366
oct11256276704
93211001354
101253670340
1159373409a
122aba27804
1316c966390
14bc700d36
15750dcd2a
hex4ab97dc4

1253670340 has 48 divisors (see below), whose sum is σ = 2857623552. Its totient is φ = 459236736.

The previous prime is 1253670323. The next prime is 1253670343. The reversal of 1253670340 is 430763521.

It is not an unprimeable number, because it can be changed into a prime (1253670343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14037 + ... + 52003.

It is an arithmetic number, because the mean of its divisors is an integer number (59533824).

Almost surely, 21253670340 is an apocalyptic number.

1253670340 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 1253670340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428811776).

1253670340 is an abundant number, since it is smaller than the sum of its proper divisors (1603953212).

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

1253670340 is a wasteful number, since it uses less digits than its factorization.

1253670340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38116 (or 38114 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 31.

The square root of 1253670340 is about 35407.2074583693. The cubic root of 1253670340 is about 1078.2706491345.

The spelling of 1253670340 in words is "one billion, two hundred fifty-three million, six hundred seventy thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 127 130 254 260 508 635 1270 1651 2540 3302 6604 8255 16510 33020 37967 75934 151868 189835 379670 493571 759340 987142 1974284 2467855 4821809 4935710 9643618 9871420 19287236 24109045 48218090 62683517 96436180 125367034 250734068 313417585 626835170 1253670340