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930069420 = 223574154011
BaseRepresentation
bin110111011011111…
…011101110101100
32101211002102101120
4313123323232230
53401044210140
6232142340540
732022313440
oct6733735654
92354072346
10930069420
11437aaaa15
1221b58a750
1311a8c4147
148b746820
15569bb1d0
hex376fbbac

930069420 has 96 divisors (see below), whose sum is σ = 3048869376. Its totient is φ = 207398400.

The previous prime is 930069397. The next prime is 930069443. The reversal of 930069420 is 24960039.

It is an interprime number because it is at equal distance from previous prime (930069397) and next prime (930069443).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 9786 + ... + 44225.

It is an arithmetic number, because the mean of its divisors is an integer number (31759056).

Almost surely, 2930069420 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 930069420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524434688).

930069420 is an abundant number, since it is smaller than the sum of its proper divisors (2118799956).

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

930069420 is a wasteful number, since it uses less digits than its factorization.

930069420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54071 (or 54069 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 930069420 is about 30497.0395284526. The cubic root of 930069420 is about 976.1242941117.

The spelling of 930069420 in words is "nine hundred thirty million, sixty-nine thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 41 42 60 70 82 84 105 123 140 164 205 210 246 287 410 420 492 574 615 820 861 1148 1230 1435 1722 2460 2870 3444 4305 5740 8610 17220 54011 108022 162033 216044 270055 324066 378077 540110 648132 756154 810165 1080220 1134231 1512308 1620330 1890385 2214451 2268462 3240660 3780770 4428902 4536924 5671155 6643353 7561540 8857804 11072255 11342310 13286706 15501157 22144510 22684620 26573412 31002314 33216765 44289020 46503471 62004628 66433530 77505785 93006942 132867060 155011570 186013884 232517355 310023140 465034710 930069420