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7005681540 = 223251113272171
BaseRepresentation
bin1101000011001001…
…00011011110000100
3200002020102111101200
412201210203132010
5103321423302130
63115100022500
7335415211344
oct64144433604
920066374350
107005681540
112a75585260
121436231a30
13878544cc0
144a65d8d24
152b008c760
hex1a1923784

7005681540 has 144 divisors (see below), whose sum is σ = 24965793216. Its totient is φ = 1567699200.

The previous prime is 7005681493. The next prime is 7005681601. The reversal of 7005681540 is 451865007.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 7005681495 and 7005681504.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110346 + ... + 161825.

It is an arithmetic number, because the mean of its divisors is an integer number (173373564).

Almost surely, 27005681540 is an apocalyptic number.

It is an amenable number.

7005681540 is an abundant number, since it is smaller than the sum of its proper divisors (17960111676).

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

7005681540 is a wasteful number, since it uses less digits than its factorization.

7005681540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272210 (or 272205 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 7005681540 is about 83699.9494623503. The cubic root of 7005681540 is about 1913.4485854352.

The spelling of 7005681540 in words is "seven billion, five million, six hundred eighty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 13 15 18 20 22 26 30 33 36 39 44 45 52 55 60 65 66 78 90 99 110 117 130 132 143 156 165 180 195 198 220 234 260 286 330 390 396 429 468 495 572 585 660 715 780 858 990 1170 1287 1430 1716 1980 2145 2340 2574 2860 4290 5148 6435 8580 12870 25740 272171 544342 816513 1088684 1360855 1633026 2449539 2721710 2993881 3266052 3538223 4082565 4899078 5443420 5987762 7076446 8165130 8981643 9798156 10614669 11975524 12247695 14152892 14969405 16330260 17691115 17963286 21229338 24495390 26944929 29938810 31844007 35382230 35926572 38920453 42458676 44908215 48990780 53073345 53889858 59877620 63688014 70764460 77840906 89816430 106146690 107779716 116761359 127376028 134724645 155681812 159220035 179632860 194602265 212293380 233522718 269449290 318440070 350284077 389204530 467045436 538898580 583806795 636880140 700568154 778409060 1167613590 1401136308 1751420385 2335227180 3502840770 7005681540