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421074640 = 24572163659
BaseRepresentation
bin11001000110010…
…001011011010000
31002100022210211001
4121012101123100
51330243342030
6105441031344
713302034600
oct3106213320
91070283731
10421074640
111a675a678
12b9025554
136930cbbc
143dcccc00
1526e77cca
hex191916d0

421074640 has 120 divisors (see below), whose sum is σ = 1147560480. Its totient is φ = 143265024.

The previous prime is 421074623. The next prime is 421074653. The reversal of 421074640 is 46470124.

It is a super-2 number, since 2×4210746402 = 354607704902259200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 421074599 and 421074608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 638631 + ... + 639289.

It is an arithmetic number, because the mean of its divisors is an integer number (9563004).

Almost surely, 2421074640 is an apocalyptic number.

421074640 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 421074640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573780240).

421074640 is an abundant number, since it is smaller than the sum of its proper divisors (726485840).

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

421074640 is a wasteful number, since it uses less digits than its factorization.

421074640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 421074640 is about 20520.1033135801. The cubic root of 421074640 is about 749.5254123447.

The spelling of 421074640 in words is "four hundred twenty-one million, seventy-four thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 163 196 245 280 326 392 490 560 652 659 784 815 980 1141 1304 1318 1630 1960 2282 2608 2636 3260 3295 3920 4564 4613 5272 5705 6520 6590 7987 9128 9226 10544 11410 13040 13180 15974 18256 18452 22820 23065 26360 31948 32291 36904 39935 45640 46130 52720 63896 64582 73808 79870 91280 92260 107417 127792 129164 159740 161455 184520 214834 258328 319480 322910 369040 429668 516656 537085 638960 645820 751919 859336 1074170 1291640 1503838 1718672 2148340 2583280 3007676 3759595 4296680 5263433 6015352 7519190 8593360 10526866 12030704 15038380 21053732 26317165 30076760 42107464 52634330 60153520 84214928 105268660 210537320 421074640