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4290720 = 253571277
BaseRepresentation
bin10000010111100010100000
322001222202120
4100113202200
52044300340
6231544240
751320250
oct20274240
98058676
104290720
112470755
12152b080
13b72cb5
147d9960
1559b4d0
hex4178a0

4290720 has 96 divisors (see below), whose sum is σ = 15458688. Its totient is φ = 979968.

The previous prime is 4290701. The next prime is 4290757. The reversal of 4290720 is 270924.

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 (24).

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, 2722 + ... + 3998.

It is an arithmetic number, because the mean of its divisors is an integer number (161028).

Almost surely, 24290720 is an apocalyptic number.

4290720 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 4290720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7729344).

4290720 is an abundant number, since it is smaller than the sum of its proper divisors (11167968).

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

4290720 is a wasteful number, since it uses less digits than its factorization.

4290720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 4290720 is about 2071.4053200665. The cubic root of 4290720 is about 162.4962681589.

The spelling of 4290720 in words is "four million, two hundred ninety thousand, seven hundred twenty".

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 1277 1680 2554 3360 3831 5108 6385 7662 8939 10216 12770 15324 17878 19155 20432 25540 26817 30648 35756 38310 40864 44695 51080 53634 61296 71512 76620 89390 102160 107268 122592 134085 143024 153240 178780 204320 214536 268170 286048 306480 357560 429072 536340 612960 715120 858144 1072680 1430240 2145360 4290720