Search a number
-
+
40634460 = 22375929
BaseRepresentation
bin1001101100000…
…0100001011100
32211110110000000
42123000201130
540400300320
64010534300
71002246546
oct233004134
984413000
1040634460
1120a342a9
1211737390
138559579
14557a696
153879c90
hex26c085c

40634460 has 96 divisors (see below), whose sum is σ = 128116800. Its totient is φ = 10824192.

The previous prime is 40634431. The next prime is 40634467. The reversal of 40634460 is 6443604.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40634467) 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, 43276 + ... + 44204.

It is an arithmetic number, because the mean of its divisors is an integer number (1334550).

Almost surely, 240634460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40634460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64058400).

40634460 is an abundant number, since it is smaller than the sum of its proper divisors (87482340).

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

40634460 is an equidigital number, since it uses as much as digits as its factorization.

40634460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 40634460 is about 6374.5164522495. The cubic root of 40634460 is about 343.7938980853.

The spelling of 40634460 in words is "forty million, six hundred thirty-four thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 929 972 1215 1458 1620 1858 2187 2430 2787 2916 3645 3716 4374 4645 4860 5574 7290 8361 8748 9290 10935 11148 13935 14580 16722 18580 21870 25083 27870 33444 41805 43740 50166 55740 75249 83610 100332 125415 150498 167220 225747 250830 300996 376245 451494 501660 677241 752490 902988 1128735 1354482 1504980 2031723 2257470 2708964 3386205 4063446 4514940 6772410 8126892 10158615 13544820 20317230 40634460