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1980425460 = 2235134161927
BaseRepresentation
bin111011000001010…
…1110010011110100
312010000112001000010
41312002232103310
513023442103320
6524303220220
7100035224106
oct16602562364
95100461003
101980425460
11926997a62
124732a7670
132573b27b0
1414b041576
15b8ce7ae0
hex760ae4f4

1980425460 has 96 divisors (see below), whose sum is σ = 6117495552. Its totient is φ = 475591680.

The previous prime is 1980425459. The next prime is 1980425471. The reversal of 1980425460 is 645240891.

1980425460 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 1017 + ... + 62943.

It is an arithmetic number, because the mean of its divisors is an integer number (63723912).

Almost surely, 21980425460 is an apocalyptic number.

1980425460 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 1980425460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3058747776).

1980425460 is an abundant number, since it is smaller than the sum of its proper divisors (4137070092).

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

1980425460 is a wasteful number, since it uses less digits than its factorization.

1980425460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61993 (or 61991 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 1980425460 is about 44501.9714170058. The cubic root of 1980425460 is about 1255.7971708187.

The spelling of 1980425460 in words is "one billion, nine hundred eighty million, four hundred twenty-five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 41 52 60 65 78 82 123 130 156 164 195 205 246 260 390 410 492 533 615 780 820 1066 1230 1599 2132 2460 2665 3198 5330 6396 7995 10660 15990 31980 61927 123854 185781 247708 309635 371562 619270 743124 805051 928905 1238540 1610102 1857810 2415153 2539007 3220204 3715620 4025255 4830306 5078014 7617021 8050510 9660612 10156028 12075765 12695035 15234042 16101020 24151530 25390070 30468084 33007091 38085105 48303060 50780140 66014182 76170210 99021273 132028364 152340420 165035455 198042546 330070910 396085092 495106365 660141820 990212730 1980425460