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460126980 = 22345431659
BaseRepresentation
bin11011011011001…
…111101100000100
31012001210212120000
4123123033230010
51420243030410
6113354041300
714255005035
oct3333175404
91161725500
10460126980
11216803235
1210a119230
13744342b1
1445176a8c
152a5dddc0
hex1b6cfb04

460126980 has 120 divisors (see below), whose sum is σ = 1448979840. Its totient is φ = 122230080.

The previous prime is 460126939. The next prime is 460126993. The reversal of 460126980 is 89621064.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 697891 + ... + 698549.

It is an arithmetic number, because the mean of its divisors is an integer number (12074832).

Almost surely, 2460126980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460126980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724489920).

460126980 is an abundant number, since it is smaller than the sum of its proper divisors (988852860).

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

460126980 is a wasteful number, since it uses less digits than its factorization.

460126980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 460126980 is about 21450.5706217807. The cubic root of 460126980 is about 772.0152864612.

The spelling of 460126980 in words is "four hundred sixty million, one hundred twenty-six thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 431 540 659 810 862 1293 1318 1620 1724 1977 2155 2586 2636 3295 3879 3954 4310 5172 5931 6465 6590 7758 7908 8620 9885 11637 11862 12930 13180 15516 17793 19395 19770 23274 23724 25860 29655 34911 35586 38790 39540 46548 53379 58185 59310 69822 71172 77580 88965 106758 116370 118620 139644 174555 177930 213516 232740 266895 284029 349110 355860 533790 568058 698220 852087 1067580 1136116 1420145 1704174 2556261 2840290 3408348 4260435 5112522 5680580 7668783 8520870 10225044 12781305 15337566 17041740 23006349 25562610 30675132 38343915 46012698 51125220 76687830 92025396 115031745 153375660 230063490 460126980