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725045040 = 24335335669
BaseRepresentation
bin101011001101110…
…100111100110000
31212112022002211000
4223031310330300
52441102420130
6155540122000
723652531636
oct5315647460
91775262730
10725045040
113422a6085
12182996300
13b729ac45
146c417356
15439bd260
hex2b374f30

725045040 has 80 divisors (see below), whose sum is σ = 2497384800. Its totient is φ = 193344768.

The previous prime is 725045039. The next prime is 725045051. The reversal of 725045040 is 40540527.

725045040 is a `hidden beast` number, since 72 + 504 + 50 + 40 = 666.

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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 725044995 and 725045013.

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, 165675 + ... + 169994.

It is an arithmetic number, because the mean of its divisors is an integer number (31217310).

Almost surely, 2725045040 is an apocalyptic number.

It is an amenable number.

725045040 is an abundant number, since it is smaller than the sum of its proper divisors (1772339760).

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

725045040 is a wasteful number, since it uses less digits than its factorization.

725045040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335691 (or 335679 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 725045040 is about 26926.6603944864. The cubic root of 725045040 is about 898.3694922778.

Adding to 725045040 its reverse (40540527), we get a palindrome (765585567).

The spelling of 725045040 in words is "seven hundred twenty-five million, forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 335669 671338 1007007 1342676 1678345 2014014 2685352 3021021 3356690 4028028 5035035 5370704 6042042 6713380 8056056 9063063 10070070 12084084 13426760 15105105 16112112 18126126 20140140 24168168 26853520 30210210 36252252 40280280 45315315 48336336 60420420 72504504 80560560 90630630 120840840 145009008 181261260 241681680 362522520 725045040