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421897680 = 24335375279
BaseRepresentation
bin11001001001011…
…010010111010000
31002101212121211000
4121021122113100
51331001211210
6105510422000
713312033251
oct3111322720
91071777730
10421897680
111a7171a76
12b9361900
136953a6c9
1440064b28
152708bac0
hex1925a5d0

421897680 has 160 divisors (see below), whose sum is σ = 1492761600. Its totient is φ = 109444608.

The previous prime is 421897669. The next prime is 421897681. The reversal of 421897680 is 86798124.

421897680 is a `hidden beast` number, since 421 + 89 + 76 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421897681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77281 + ... + 82559.

It is an arithmetic number, because the mean of its divisors is an integer number (9329760).

Almost surely, 2421897680 is an apocalyptic number.

421897680 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 421897680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746380800).

421897680 is an abundant number, since it is smaller than the sum of its proper divisors (1070863920).

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

421897680 is a wasteful number, since it uses less digits than its factorization.

421897680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5338 (or 5326 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 421897680 is about 20540.1480033616. The cubic root of 421897680 is about 750.0134397592.

The spelling of 421897680 in words is "four hundred twenty-one million, eight hundred ninety-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 37 40 45 48 54 60 72 74 80 90 108 111 120 135 144 148 180 185 216 222 240 270 296 333 360 370 432 444 540 555 592 666 720 740 888 999 1080 1110 1332 1480 1665 1776 1998 2160 2220 2664 2960 3330 3996 4440 4995 5279 5328 6660 7992 8880 9990 10558 13320 15837 15984 19980 21116 26395 26640 31674 39960 42232 47511 52790 63348 79185 79920 84464 95022 105580 126696 142533 158370 190044 195323 211160 237555 253392 285066 316740 380088 390646 422320 475110 570132 585969 633480 712665 760176 781292 950220 976615 1140264 1171938 1266960 1425330 1562584 1757907 1900440 1953230 2280528 2343876 2850660 2929845 3125168 3515814 3800880 3906460 4687752 5273721 5701320 5859690 7031628 7812920 8789535 9375504 10547442 11402640 11719380 14063256 15625840 17579070 21094884 23438760 26368605 28126512 35158140 42189768 46877520 52737210 70316280 84379536 105474420 140632560 210948840 421897680