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1345257130 = 25753479757
BaseRepresentation
bin101000000101110…
…1111111010101010
310110202100010212011
41100023233322222
510223341212010
6341253310134
745223332310
oct12013577252
93422303764
101345257130
116303a9658
1231663534a
13185922649
14ca9420b0
157d17ea8a
hex502efeaa

1345257130 has 64 divisors (see below), whose sum is σ = 2829219840. Its totient is φ = 450987264.

The previous prime is 1345257127. The next prime is 1345257131. The reversal of 1345257130 is 317525431.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1345257092 and 1345257101.

It is not an unprimeable number, because it can be changed into a prime (1345257131) 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 31 ways as a sum of consecutive naturals, for example, 1776712 + ... + 1777468.

It is an arithmetic number, because the mean of its divisors is an integer number (44206560).

Almost surely, 21345257130 is an apocalyptic number.

1345257130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1345257130 is an abundant number, since it is smaller than the sum of its proper divisors (1483962710).

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

1345257130 is a wasteful number, since it uses less digits than its factorization.

1345257130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303.

The product of its (nonzero) digits is 12600, while the sum is 31.

The square root of 1345257130 is about 36677.7470682156. The cubic root of 1345257130 is about 1103.9136433231.

The spelling of 1345257130 in words is "one billion, three hundred forty-five million, two hundred fifty-seven thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 35 53 70 106 265 371 479 530 742 757 958 1514 1855 2395 3353 3710 3785 4790 5299 6706 7570 10598 16765 25387 26495 33530 40121 50774 52990 80242 126935 177709 200605 253870 280847 355418 362603 401210 561694 725206 888545 1404235 1777090 1813015 2538221 2808470 3626030 5076442 12691105 19217959 25382210 38435918 96089795 134525713 192179590 269051426 672628565 1345257130