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4700640 = 253571399
BaseRepresentation
bin10001111011100111100000
322211211001210
4101323213200
52200410030
6244430120
754645330
oct21734740
98754053
104700640
11272072a
1216a8340
13c87759
148a50c0
1562cbb0
hex47b9e0

4700640 has 96 divisors (see below), whose sum is σ = 16934400. Its totient is φ = 1073664.

The previous prime is 4700629. The next prime is 4700659. The reversal of 4700640 is 460074.

4700640 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 2661 + ... + 4059.

It is an arithmetic number, because the mean of its divisors is an integer number (176400).

Almost surely, 24700640 is an apocalyptic number.

4700640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4700640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8467200).

4700640 is an abundant number, since it is smaller than the sum of its proper divisors (12233760).

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

4700640 is a wasteful number, since it uses less digits than its factorization.

4700640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1424 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 4700640 is about 2168.0959388367. The cubic root of 4700640 is about 167.5144711638.

The spelling of 4700640 in words is "four million, seven hundred thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1399 1680 2798 3360 4197 5596 6995 8394 9793 11192 13990 16788 19586 20985 22384 27980 29379 33576 39172 41970 44768 48965 55960 58758 67152 78344 83940 97930 111920 117516 134304 146895 156688 167880 195860 223840 235032 293790 313376 335760 391720 470064 587580 671520 783440 940128 1175160 1566880 2350320 4700640