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1345125960 = 233353140177
BaseRepresentation
bin101000000101100…
…1111111001001000
310110202002110221000
41100023033321020
510223323012320
6341250415000
745222245013
oct12013177110
93422073830
101345125960
1163031a052
12316591460
131858a7a29
14ca90a37a
157d155c90
hex502cfe48

1345125960 has 128 divisors (see below), whose sum is σ = 4628505600. Its totient is φ = 347120640.

The previous prime is 1345125953. The next prime is 1345125967. The reversal of 1345125960 is 695215431.

1345125960 is a `hidden beast` number, since 1 + 34 + 512 + 59 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (1345125953) and next prime (1345125967).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1345125967) 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, 13392 + ... + 53568.

It is an arithmetic number, because the mean of its divisors is an integer number (36160200).

Almost surely, 21345125960 is an apocalyptic number.

1345125960 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 1345125960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2314252800).

1345125960 is an abundant number, since it is smaller than the sum of its proper divisors (3283379640).

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

1345125960 is a wasteful number, since it uses less digits than its factorization.

1345125960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40228 (or 40218 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 1345125960 is about 36675.9588831703. The cubic root of 1345125960 is about 1103.8777629312.

The spelling of 1345125960 in words is "one billion, three hundred forty-five million, one hundred twenty-five thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 31 36 40 45 54 60 62 72 90 93 108 120 124 135 155 180 186 216 248 270 279 310 360 372 465 540 558 620 744 837 930 1080 1116 1240 1395 1674 1860 2232 2790 3348 3720 4185 5580 6696 8370 11160 16740 33480 40177 80354 120531 160708 200885 241062 321416 361593 401770 482124 602655 723186 803540 964248 1084779 1205310 1245487 1446372 1607080 1807965 2169558 2410620 2490974 2892744 3615930 3736461 4339116 4821240 4981948 5423895 6227435 7231860 7472922 8678232 9963896 10847790 11209383 12454870 14463720 14945844 18682305 21695580 22418766 24909740 29891688 33628149 37364610 43391160 44837532 49819480 56046915 67256298 74729220 89675064 112093830 134512596 149458440 168140745 224187660 269025192 336281490 448375320 672562980 1345125960