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1004930406 = 2321947101619
BaseRepresentation
bin111011111001100…
…000010101100110
32121000221202100200
4323321200111212
54024230233111
6243415051330
733621524154
oct7371402546
92530852320
101004930406
114762910a7
12240670b46
1313027539c
14976723d4
155d357256
hex3be60566

1004930406 has 96 divisors (see below), whose sum is σ = 2367705600. Its totient is φ = 307022400.

The previous prime is 1004930363. The next prime is 1004930431. The reversal of 1004930406 is 6040394001.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1004930406.

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, 1623165 + ... + 1623783.

It is an arithmetic number, because the mean of its divisors is an integer number (24663600).

Almost surely, 21004930406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004930406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183852800).

1004930406 is an abundant number, since it is smaller than the sum of its proper divisors (1362775194).

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

1004930406 is a wasteful number, since it uses less digits than its factorization.

1004930406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1004930406 is about 31700.6373122056. The cubic root of 1004930406 is about 1001.6407750515.

The spelling of 1004930406 in words is "one billion, four million, nine hundred thirty thousand, four hundred six".

Divisors: 1 2 3 6 9 18 19 38 47 57 94 101 114 141 171 202 282 303 342 423 606 619 846 893 909 1238 1786 1818 1857 1919 2679 3714 3838 4747 5358 5571 5757 8037 9494 11142 11514 11761 14241 16074 17271 23522 28482 29093 34542 35283 42723 58186 62519 70566 85446 87279 90193 105849 125038 174558 180386 187557 211698 261837 270579 375114 523674 541158 552767 562671 811737 1105534 1125342 1187861 1623474 1658301 2375722 2938393 3316602 3563583 4974903 5876786 7127166 8815179 9949806 10690749 17630358 21381498 26445537 52891074 55829467 111658934 167488401 334976802 502465203 1004930406