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3725712240 = 2435101153701
BaseRepresentation
bin1101111000010001…
…1101101101110000
3100121122120210101020
43132010131231300
530112240242430
61413410535440
7161220013545
oct33604355560
910548523336
103725712240
111642081828
1287b897580
13474b57073
14274b54bcc
1516c144b10
hexde11db70

3725712240 has 80 divisors (see below), whose sum is σ = 11664137376. Its totient is φ = 983680000.

The previous prime is 3725712229. The next prime is 3725712251. The reversal of 3725712240 is 422175273.

It is an interprime number because it is at equal distance from previous prime (3725712229) and next prime (3725712251).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52611 + ... + 101090.

Almost surely, 23725712240 is an apocalyptic number.

3725712240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3725712240 is an abundant number, since it is smaller than the sum of its proper divisors (7938425136).

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

3725712240 is a wasteful number, since it uses less digits than its factorization.

3725712240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153818 (or 153812 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 3725712240 is about 61038.6126972100. The cubic root of 3725712240 is about 1550.2548647850.

The spelling of 3725712240 in words is "three billion, seven hundred twenty-five million, seven hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 101 120 202 240 303 404 505 606 808 1010 1212 1515 1616 2020 2424 3030 4040 4848 6060 8080 12120 24240 153701 307402 461103 614804 768505 922206 1229608 1537010 1844412 2305515 2459216 3074020 3688824 4611030 6148040 7377648 9222060 12296080 15523801 18444120 31047602 36888240 46571403 62095204 77619005 93142806 124190408 155238010 186285612 232857015 248380816 310476020 372571224 465714030 620952040 745142448 931428060 1241904080 1862856120 3725712240