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3056660640 = 2532511192971
BaseRepresentation
bin1011011000110000…
…1111000010100000
321220000122110010100
42312030033002200
522230001120030
61223150502400
7135514121025
oct26614170240
97800573110
103056660640
111329450420
12713804a00
13399362547
1420dd5554c
1512d537360
hexb630f0a0

3056660640 has 144 divisors (see below), whose sum is σ = 11379172896. Its totient is φ = 741004800.

The previous prime is 3056660623. The next prime is 3056660683. The reversal of 3056660640 is 460666503.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3056660595 and 3056660604.

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 23 ways as a sum of consecutive naturals, for example, 80646 + ... + 112325.

It is an arithmetic number, because the mean of its divisors is an integer number (79022034).

Almost surely, 23056660640 is an apocalyptic number.

3056660640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3056660640 is an abundant number, since it is smaller than the sum of its proper divisors (8322512256).

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

3056660640 is a wasteful number, since it uses less digits than its factorization.

3056660640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193003 (or 192992 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 3056660640 is about 55287.0748005354. The cubic root of 3056660640 is about 1451.2728640732.

The spelling of 3056660640 in words is "three billion, fifty-six million, six hundred sixty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 198 220 240 264 288 330 352 360 396 440 480 495 528 660 720 792 880 990 1056 1320 1440 1584 1760 1980 2640 3168 3960 5280 7920 15840 192971 385942 578913 771884 964855 1157826 1543768 1736739 1929710 2122681 2315652 2894565 3087536 3473478 3859420 4245362 4631304 5789130 6175072 6368043 6946956 7718840 8490724 8683695 9262608 10613405 11578260 12736086 13893912 15437680 16981448 17367390 18525216 19104129 21226810 23156520 25472172 27787824 30875360 31840215 33962896 34734780 38208258 42453620 46313040 50944344 55575648 63680430 67925792 69469560 76416516 84907240 92626080 95520645 101888688 127360860 138939120 152833032 169814480 191041290 203777376 254721720 277878240 305666064 339628960 382082580 509443440 611332128 764165160 1018886880 1528330320 3056660640