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15204560140 = 22571110199689
BaseRepresentation
bin11100010100100001…
…10010110100001100
31110020122001200110001
432022100302310030
5222114331411030
610552422254044
71045532425450
oct161220626414
943218050401
1015204560140
1164a263a090
122b43b87324
13158403bb63
14a43472660
155dec6ecca
hex38a432d0c

15204560140 has 96 divisors (see below), whose sum is σ = 39851481600. Its totient is φ = 4733944320.

The previous prime is 15204560123. The next prime is 15204560153. The reversal of 15204560140 is 4106540251.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 15204560099 and 15204560108.

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, 1564416 + ... + 1574104.

It is an arithmetic number, because the mean of its divisors is an integer number (415119600).

Almost surely, 215204560140 is an apocalyptic number.

15204560140 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 15204560140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19925740800).

15204560140 is an abundant number, since it is smaller than the sum of its proper divisors (24646921460).

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

15204560140 is a wasteful number, since it uses less digits than its factorization.

15204560140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10735 (or 10733 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The spelling of 15204560140 in words is "fifteen billion, two hundred four million, five hundred sixty thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1019 1540 2038 4076 5095 7133 9689 10190 11209 14266 19378 20380 22418 28532 35665 38756 44836 48445 56045 67823 71330 78463 96890 106579 112090 135646 142660 156926 193780 213158 224180 271292 313852 339115 392315 426316 532895 678230 746053 784630 1065790 1356460 1492106 1569260 2131580 2984212 3730265 7460530 9873091 14921060 19746182 39492364 49365455 69111637 98730910 108604001 138223274 197461820 217208002 276446548 345558185 434416004 543020005 691116370 760228007 1086040010 1382232740 1520456014 2172080020 3040912028 3801140035 7602280070 15204560140