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1345265000 = 23541132381
BaseRepresentation
bin101000000101111…
…0001110101101000
310110202100112122122
41100023301311220
510223341440000
6341253410412
745223364252
oct12013616550
93422315578
101345265000
11630404562
12316639a08
131859260c1
14ca944cd2
157d182085
hex502f1d68

1345265000 has 80 divisors (see below), whose sum is σ = 3181184820. Its totient is φ = 533120000.

The previous prime is 1345264969. The next prime is 1345265003. The reversal of 1345265000 is 5625431.

It can be written as a sum of positive squares in 10 ways, for example, as 937951876 + 407313124 = 30626^2 + 20182^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1345265003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 563810 + ... + 566190.

Almost surely, 21345265000 is an apocalyptic number.

1345265000 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 1345265000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590592410).

1345265000 is an abundant number, since it is smaller than the sum of its proper divisors (1835919820).

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

1345265000 is a wasteful number, since it uses less digits than its factorization.

1345265000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2520 (or 2501 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 1345265000 is about 36677.8543538196. The cubic root of 1345265000 is about 1103.9157960177.

The spelling of 1345265000 in words is "one billion, three hundred forty-five million, two hundred sixty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 113 125 200 226 250 452 500 565 625 904 1000 1130 1250 2260 2381 2500 2825 4520 4762 5000 5650 9524 11300 11905 14125 19048 22600 23810 28250 47620 56500 59525 70625 95240 113000 119050 141250 238100 269053 282500 297625 476200 538106 565000 595250 1076212 1190500 1345265 1488125 2152424 2381000 2690530 2976250 5381060 5952500 6726325 10762120 11905000 13452650 26905300 33631625 53810600 67263250 134526500 168158125 269053000 336316250 672632500 1345265000