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1004665980 = 2235314211283
BaseRepresentation
bin111011111000011…
…111110001111100
32121000110022122010
4323320133301330
54024143302410
6243405251220
733616343223
oct7370376174
92530408563
101004665980
1147612046a
12240563b10
131301b1c16
1497603cba
155d303c20
hex3be1fc7c

1004665980 has 96 divisors (see below), whose sum is σ = 2912974848. Its totient is φ = 258451200.

The previous prime is 1004665979. The next prime is 1004666029. The reversal of 1004665980 is 895664001.

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, 782419 + ... + 783701.

It is an arithmetic number, because the mean of its divisors is an integer number (30343488).

Almost surely, 21004665980 is an apocalyptic number.

1004665980 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 1004665980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456487424).

1004665980 is an abundant number, since it is smaller than the sum of its proper divisors (1908308868).

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

1004665980 is a wasteful number, since it uses less digits than its factorization.

1004665980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1747 (or 1745 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 1004665980 is about 31696.4663645650. The cubic root of 1004665980 is about 1001.5529138769.

The spelling of 1004665980 in words is "one billion, four million, six hundred sixty-five thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 421 465 620 842 930 1263 1283 1684 1860 2105 2526 2566 3849 4210 5052 5132 6315 6415 7698 8420 12630 12830 13051 15396 19245 25260 25660 26102 38490 39153 39773 52204 65255 76980 78306 79546 119319 130510 156612 159092 195765 198865 238638 261020 391530 397730 477276 540143 596595 783060 795460 1080286 1193190 1620429 2160572 2386380 2700715 3240858 5401430 6481716 8102145 10802860 16204290 16744433 32408580 33488866 50233299 66977732 83722165 100466598 167444330 200933196 251166495 334888660 502332990 1004665980