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15980120 = 2351379389
BaseRepresentation
bin111100111101…
…011001011000
31010001212121022
4330331121120
513042330440
61330302012
7252554162
oct74753130
933055538
1015980120
119025112
125427908
1334067c0
14219d932
151609cb5
hexf3d658

15980120 has 64 divisors (see below), whose sum is σ = 39312000. Its totient is φ = 5810688.

The previous prime is 15980117. The next prime is 15980123. The reversal of 15980120 is 2108951.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (15980117) and next prime (15980123).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 15980120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15980123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40886 + ... + 41274.

It is an arithmetic number, because the mean of its divisors is an integer number (614250).

Almost surely, 215980120 is an apocalyptic number.

15980120 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 15980120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19656000).

15980120 is an abundant number, since it is smaller than the sum of its proper divisors (23331880).

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

15980120 is a wasteful number, since it uses less digits than its factorization.

15980120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 26.

The square root of 15980120 is about 3997.5142276170. The cubic root of 15980120 is about 251.8798032649.

The spelling of 15980120 in words is "fifteen million, nine hundred eighty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 79 104 130 158 260 316 389 395 520 632 778 790 1027 1556 1580 1945 2054 3112 3160 3890 4108 5057 5135 7780 8216 10114 10270 15560 20228 20540 25285 30731 40456 41080 50570 61462 101140 122924 153655 202280 245848 307310 399503 614620 799006 1229240 1598012 1997515 3196024 3995030 7990060 15980120