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460296990 = 232529315689
BaseRepresentation
bin11011011011111…
…001001100011110
31012002010111202200
4123123321030132
51420314000430
6113401432330
714256313506
oct3333711436
91162114680
10460296990
11216909a3a
1210a19b6a6
13744937aa
14451bca06
152a624460
hex1b6f931e

460296990 has 96 divisors (see below), whose sum is σ = 1278201600. Its totient is φ = 114670080.

The previous prime is 460296979. The next prime is 460297003. The reversal of 460296990 is 99692064.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78066 + ... + 83754.

It is an arithmetic number, because the mean of its divisors is an integer number (13314600).

Almost surely, 2460296990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460296990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639100800).

460296990 is an abundant number, since it is smaller than the sum of its proper divisors (817904610).

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

460296990 is a wasteful number, since it uses less digits than its factorization.

460296990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5762 (or 5759 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 460296990 is about 21454.5330874387. The cubic root of 460296990 is about 772.1103574328.

The spelling of 460296990 in words is "four hundred sixty million, two hundred ninety-six thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 31 45 58 62 87 90 93 145 155 174 186 261 279 290 310 435 465 522 558 870 899 930 1305 1395 1798 2610 2697 2790 4495 5394 5689 8091 8990 11378 13485 16182 17067 26970 28445 34134 40455 51201 56890 80910 85335 102402 164981 170670 176359 256005 329962 352718 494943 512010 529077 824905 881795 989886 1058154 1484829 1587231 1649810 1763590 2474715 2645385 2969658 3174462 4949430 5114411 5290770 7424145 7936155 10228822 14848290 15343233 15872310 25572055 30686466 46029699 51144110 76716165 92059398 153432330 230148495 460296990