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4670006040 = 2332571853177
BaseRepresentation
bin1000101100101101…
…01010001100011000
3110001110102212221200
410112112222030120
534031010143130
62051222234200
7223504252650
oct42626521430
913043385850
104670006040
111a87107727
12aa3b85960
1359568b7ab
14324321360
151c4ec0760
hex1165aa318

4670006040 has 96 divisors (see below), whose sum is σ = 17345746080. Its totient is φ = 1067429376.

The previous prime is 4670006017. The next prime is 4670006059. The reversal of 4670006040 is 406000764.

It is a super-3 number, since 3×46700060403 (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4670005995 and 4670006013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 924069 + ... + 929108.

It is an arithmetic number, because the mean of its divisors is an integer number (180684855).

Almost surely, 24670006040 is an apocalyptic number.

4670006040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4670006040 is an abundant number, since it is smaller than the sum of its proper divisors (12675740040).

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

4670006040 is a wasteful number, since it uses less digits than its factorization.

4670006040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1853201 (or 1853194 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 4670006040 is about 68337.4424455584. The cubic root of 4670006040 is about 1671.4978183640.

The spelling of 4670006040 in words is "four billion, six hundred seventy million, six thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 1853177 3706354 5559531 7412708 9265885 11119062 12972239 14825416 16678593 18531770 22238124 25944478 27797655 33357186 37063540 38916717 44476248 51888956 55595310 64861195 66714372 74127080 77833434 83392965 103777912 111190620 116750151 129722390 133428744 155666868 166785930 194583585 222381240 233500302 259444780 311333736 333571860 389167170 467000604 518889560 583750755 667143720 778334340 934001208 1167501510 1556668680 2335003020 4670006040