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646253040 = 243512892089
BaseRepresentation
bin100110100001010…
…000100111110000
31200001001001111210
4212201100213300
52310420044130
6144043240120
722005026436
oct4641204760
91601031453
10646253040
1130187a524
12160519040
13a3b71664
1461b86d56
153bb075b0
hex268509f0

646253040 has 80 divisors (see below), whose sum is σ = 2005898400. Its totient is φ = 172118016.

The previous prime is 646253039. The next prime is 646253051. The reversal of 646253040 is 40352646.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 646252989 and 646253007.

It is a congruent number.

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, 308316 + ... + 310404.

It is an arithmetic number, because the mean of its divisors is an integer number (25073730).

Almost surely, 2646253040 is an apocalyptic number.

646253040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

646253040 is an abundant number, since it is smaller than the sum of its proper divisors (1359645360).

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

646253040 is a wasteful number, since it uses less digits than its factorization.

646253040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3394 (or 3388 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 646253040 is about 25421.5074297336. The cubic root of 646253040 is about 864.5714027147.

The spelling of 646253040 in words is "six hundred forty-six million, two hundred fifty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1289 2089 2578 3867 4178 5156 6267 6445 7734 8356 10312 10445 12534 12890 15468 16712 19335 20624 20890 25068 25780 30936 31335 33424 38670 41780 50136 51560 61872 62670 77340 83560 100272 103120 125340 154680 167120 250680 309360 501360 2692721 5385442 8078163 10770884 13463605 16156326 21541768 26927210 32312652 40390815 43083536 53854420 64625304 80781630 107708840 129250608 161563260 215417680 323126520 646253040