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3640063920 = 243531874759
BaseRepresentation
bin1101100011110110…
…1111011110110000
3100101200102101222020
43120331233132300
524423324021140
61401111111440
7156130014153
oct33075573660
910350371866
103640063920
1115a87a2999
12857072580
13460199a9c
1426761bc9a
151648776d0
hexd8f6f7b0

3640063920 has 80 divisors (see below), whose sum is σ = 11290110720. Its totient is φ = 970175232.

The previous prime is 3640063901. The next prime is 3640063991. The reversal of 3640063920 is 293600463.

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

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, 762501 + ... + 767259.

It is an arithmetic number, because the mean of its divisors is an integer number (141126384).

Almost surely, 23640063920 is an apocalyptic number.

3640063920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3640063920 is an abundant number, since it is smaller than the sum of its proper divisors (7650046800).

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

3640063920 is a wasteful number, since it uses less digits than its factorization.

3640063920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7962 (or 7956 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 3640063920 is about 60332.9422455096. The cubic root of 3640063920 is about 1538.2833404014.

The spelling of 3640063920 in words is "three billion, six hundred forty million, sixty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 3187 4759 6374 9518 9561 12748 14277 15935 19036 19122 23795 25496 28554 31870 38072 38244 47590 47805 50992 57108 63740 71385 76144 76488 95180 95610 114216 127480 142770 152976 190360 191220 228432 254960 285540 380720 382440 571080 764880 1142160 15166933 30333866 45500799 60667732 75834665 91001598 121335464 151669330 182003196 227503995 242670928 303338660 364006392 455007990 606677320 728012784 910015980 1213354640 1820031960 3640063920