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30000767040 = 263451157437
BaseRepresentation
bin11011111100001011…
…110110000001000000
32212102210201212120000
4123330023312001000
5442420144021130
621440540320000
72111306212056
oct337413660100
985383655500
1030000767040
11117a5718352
125993243000
132aa15a327a
1416485a81d6
15ba8c2b260
hex6fc2f6040

30000767040 has 140 divisors (see below), whose sum is σ = 106718098476. Its totient is φ = 8000197632.

The previous prime is 30000767039. The next prime is 30000767063. The reversal of 30000767040 is 4076700003.

It can be written as a sum of positive squares in 2 ways, for example, as 15767322624 + 14233444416 = 125568^2 + 119304^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 30000766995 and 30000767013.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 552799 + ... + 604638.

Almost surely, 230000767040 is an apocalyptic number.

30000767040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30000767040 is an abundant number, since it is smaller than the sum of its proper divisors (76717331436).

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

30000767040 is a wasteful number, since it uses less digits than its factorization.

30000767040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157466 (or 1157447 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The spelling of 30000767040 in words is "thirty billion, seven hundred sixty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1620 1728 2160 2592 2880 3240 4320 5184 6480 8640 12960 25920 1157437 2314874 3472311 4629748 5787185 6944622 9259496 10416933 11574370 13889244 17361555 18518992 20833866 23148740 27778488 31250799 34723110 37037984 41667732 46297480 52084665 55556976 62501598 69446220 74075968 83335464 92594960 93752397 104169330 111113952 125003196 138892440 156253995 166670928 185189920 187504794 208338660 222227904 250006392 277784880 312507990 333341856 370379840 375009588 416677320 468761985 500012784 555569760 625015980 666683712 750019176 833354640 937523970 1000025568 1111139520 1250031960 1500038352 1666709280 1875047940 2000051136 2500063920 3000076704 3333418560 3750095880 5000127840 6000153408 7500191760 10000255680 15000383520 30000767040