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421010040 = 2335113131019
BaseRepresentation
bin11001000110000…
…001101001111000
31002100012112012110
4121012001221320
51330234310130
6105435412320
713301345343
oct3106015170
91070175173
10421010040
111a6716090
12b8bb40a0
13692b9689
143dcb345a
1526e63ab0
hex19181a78

421010040 has 128 divisors (see below), whose sum is σ = 1383609600. Its totient is φ = 101637120.

The previous prime is 421010003. The next prime is 421010041. The reversal of 421010040 is 40010124.

421010040 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 421009998 and 421010025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421010041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 412651 + ... + 413669.

It is an arithmetic number, because the mean of its divisors is an integer number (10809450).

Almost surely, 2421010040 is an apocalyptic number.

421010040 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 421010040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691804800).

421010040 is an abundant number, since it is smaller than the sum of its proper divisors (962599560).

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

421010040 is a wasteful number, since it uses less digits than its factorization.

421010040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 421010040 is about 20518.5291870543. The cubic root of 421010040 is about 749.4870804091.

Adding to 421010040 its reverse (40010124), we get a palindrome (461020164).

The spelling of 421010040 in words is "four hundred twenty-one million, ten thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 313 330 440 626 660 939 1019 1252 1320 1565 1878 2038 2504 3057 3130 3443 3756 4076 4695 5095 6114 6260 6886 7512 8152 9390 10190 10329 11209 12228 12520 13772 15285 17215 18780 20380 20658 22418 24456 27544 30570 33627 34430 37560 40760 41316 44836 51645 56045 61140 67254 68860 82632 89672 103290 112090 122280 134508 137720 168135 206580 224180 269016 318947 336270 413160 448360 637894 672540 956841 1275788 1345080 1594735 1913682 2551576 3189470 3508417 3827364 4784205 6378940 7016834 7654728 9568410 10525251 12757880 14033668 17542085 19136820 21050502 28067336 35084170 38273640 42101004 52626255 70168340 84202008 105252510 140336680 210505020 421010040