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9427007040 = 263511892709
BaseRepresentation
bin10001100011110010…
…01011011001000000
3220022222120120112220
420301321023121000
5123301303211130
64155233251040
7452416144353
oct106171133100
926288516486
109427007040
113aa8332a10
1219b1103a80
13b73089499
1465600a29a
153a2927410
hex231e4b640

9427007040 has 112 divisors (see below), whose sum is σ = 32651760960. Its totient is φ = 2285332480.

The previous prime is 9427006937. The next prime is 9427007071. The reversal of 9427007040 is 407007249.

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

It is a junction number, because it is equal to n+sod(n) for n = 9427006992 and 9427007010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 435795 + ... + 456914.

It is an arithmetic number, because the mean of its divisors is an integer number (291533580).

Almost surely, 29427007040 is an apocalyptic number.

It is an amenable number.

9427007040 is an abundant number, since it is smaller than the sum of its proper divisors (23224753920).

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

9427007040 is a wasteful number, since it uses less digits than its factorization.

9427007040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892740 (or 892730 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 9427007040 is about 97092.7754263931. The cubic root of 9427007040 is about 2112.4735364961.

The spelling of 9427007040 in words is "nine billion, four hundred twenty-seven million, seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 5280 10560 892709 1785418 2678127 3570836 4463545 5356254 7141672 8927090 9819799 10712508 13390635 14283344 17854180 19639598 21425016 26781270 28566688 29459397 35708360 39279196 42850032 49098995 53562540 57133376 58918794 71416720 78558392 85700064 98197990 107125080 117837588 142833440 147296985 157116784 171400128 196395980 214250160 235675176 285666880 294593970 314233568 392791960 428500320 471350352 589187940 628467136 785583920 857000640 942700704 1178375880 1571167840 1885401408 2356751760 3142335680 4713503520 9427007040