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15126045240 = 2335532639043
BaseRepresentation
bin11100001011001010…
…10010001000111000
31110001011022201020210
432011211102020320
5221434231421430
610540535351120
71043560156155
oct160545221070
943034281223
1015126045240
116462292739
122b218224a0
1315709ab737
14a36c7522c
155d7e112b0
hex385952238

15126045240 has 128 divisors (see below), whose sum is σ = 46415255040. Its totient is φ = 3942022656.

The previous prime is 15126045169. The next prime is 15126045251. The reversal of 15126045240 is 4254062151.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 15126045198 and 15126045207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1668159 + ... + 1677201.

It is an arithmetic number, because the mean of its divisors is an integer number (362619180).

Almost surely, 215126045240 is an apocalyptic number.

15126045240 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 15126045240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23207627520).

15126045240 is an abundant number, since it is smaller than the sum of its proper divisors (31289209800).

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

15126045240 is a wasteful number, since it uses less digits than its factorization.

15126045240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9373 (or 9369 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 15126045240 in words is "fifteen billion, one hundred twenty-six million, forty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 263 265 318 424 526 530 636 789 795 1052 1060 1272 1315 1578 1590 2104 2120 2630 3156 3180 3945 5260 6312 6360 7890 9043 10520 13939 15780 18086 27129 27878 31560 36172 41817 45215 54258 55756 69695 72344 83634 90430 108516 111512 135645 139390 167268 180860 209085 217032 271290 278780 334536 361720 418170 479279 542580 557560 836340 958558 1085160 1437837 1672680 1917116 2378309 2396395 2875674 3834232 4756618 4792790 5751348 7134927 7189185 9513236 9585580 11502696 11891545 14269854 14378370 19026472 19171160 23783090 28539708 28756740 35674635 47566180 57079416 57513480 71349270 95132360 126050377 142698540 252100754 285397080 378151131 504201508 630251885 756302262 1008403016 1260503770 1512604524 1890755655 2521007540 3025209048 3781511310 5042015080 7563022620 15126045240