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930492420 = 2235112139859
BaseRepresentation
bin110111011101100…
…011000000000100
32101211212220122020
4313131203000010
53401201224140
6232155403140
732026024614
oct6735430004
92354786566
10930492420
11438269800
1221b7534b0
1311aa11840
148b816a44
1556a516d0
hex37763004

930492420 has 144 divisors (see below), whose sum is σ = 3084365760. Its totient is φ = 208200960.

The previous prime is 930492413. The next prime is 930492457. The reversal of 930492420 is 24294039.

930492420 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9304924202 = 1731632287354912800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89451 + ... + 99309.

Almost surely, 2930492420 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 930492420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542182880).

930492420 is an abundant number, since it is smaller than the sum of its proper divisors (2153873340).

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

930492420 is a wasteful number, since it uses less digits than its factorization.

930492420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9906 (or 9893 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 930492420 is about 30503.9738394852. The cubic root of 930492420 is about 976.2722536751.

The spelling of 930492420 in words is "nine hundred thirty million, four hundred ninety-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 121 130 132 143 156 165 195 220 242 260 286 330 363 390 429 484 572 605 660 715 726 780 858 1210 1430 1452 1573 1716 1815 2145 2420 2860 3146 3630 4290 4719 6292 7260 7865 8580 9438 9859 15730 18876 19718 23595 29577 31460 39436 47190 49295 59154 94380 98590 108449 118308 128167 147885 197180 216898 256334 295770 325347 384501 433796 512668 542245 591540 640835 650694 769002 1084490 1192939 1281670 1301388 1409837 1538004 1626735 1922505 2168980 2385878 2563340 2819674 3253470 3578817 3845010 4229511 4771756 5639348 5964695 6506940 7049185 7157634 7690020 8459022 11929390 14098370 14315268 15508207 16918044 17894085 21147555 23858780 28196740 31016414 35788170 42295110 46524621 62032828 71576340 77541035 84590220 93049242 155082070 186098484 232623105 310164140 465246210 930492420