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4290880 = 265112353
BaseRepresentation
bin10000010111100101000000
322001222222111
4100113211000
52044302010
6231545104
751320566
oct20274500
98058874
104290880
112470890
12152b194
13b730a9
147d9a36
1559b58a
hex417940

4290880 has 112 divisors (see below), whose sum is σ = 11850624. Its totient is φ = 1464320.

The previous prime is 4290833. The next prime is 4290887. The reversal of 4290880 is 880924.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4290887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80934 + ... + 80986.

Almost surely, 24290880 is an apocalyptic number.

4290880 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 4290880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5925312).

4290880 is an abundant number, since it is smaller than the sum of its proper divisors (7559744).

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

4290880 is a wasteful number, since it uses less digits than its factorization.

4290880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 4290880 is about 2071.4439408297. The cubic root of 4290880 is about 162.4982879504.

The spelling of 4290880 in words is "four million, two hundred ninety thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 32 40 44 46 53 55 64 80 88 92 106 110 115 160 176 184 212 220 230 253 265 320 352 368 424 440 460 506 530 583 704 736 848 880 920 1012 1060 1166 1219 1265 1472 1696 1760 1840 2024 2120 2332 2438 2530 2915 3392 3520 3680 4048 4240 4664 4876 5060 5830 6095 7360 8096 8480 9328 9752 10120 11660 12190 13409 16192 16960 18656 19504 20240 23320 24380 26818 37312 39008 40480 46640 48760 53636 67045 78016 80960 93280 97520 107272 134090 186560 195040 214544 268180 390080 429088 536360 858176 1072720 2145440 4290880