Search a number
-
+
40568970 = 235131729211
BaseRepresentation
bin1001101011000…
…0100010001010
32211100010011110
42122300202022
540341201340
64005311150
71001554611
oct232604212
984303143
1040568970
112099a082
12117054b6
138535810
145560878
153865680
hex26b088a

40568970 has 128 divisors (see below), whose sum is σ = 115395840. Its totient is φ = 9031680.

The previous prime is 40568963. The next prime is 40568977. The reversal of 40568970 is 7986504.

It is an interprime number because it is at equal distance from previous prime (40568963) and next prime (40568977).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (40568977) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 192165 + ... + 192375.

It is an arithmetic number, because the mean of its divisors is an integer number (901530).

Almost surely, 240568970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40568970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57697920).

40568970 is an abundant number, since it is smaller than the sum of its proper divisors (74826870).

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

40568970 is a wasteful number, since it uses less digits than its factorization.

40568970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280.

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 40568970 is about 6369.3775206059. The cubic root of 40568970 is about 343.6091028075.

The spelling of 40568970 in words is "forty million, five hundred sixty-eight thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 10 13 15 17 26 29 30 34 39 51 58 65 78 85 87 102 130 145 170 174 195 211 221 255 290 377 390 422 435 442 493 510 633 663 754 870 986 1055 1105 1131 1266 1326 1479 1885 2110 2210 2262 2465 2743 2958 3165 3315 3587 3770 4930 5486 5655 6119 6330 6409 6630 7174 7395 8229 10761 11310 12238 12818 13715 14790 16458 17935 18357 19227 21522 27430 30595 32045 35870 36714 38454 41145 46631 53805 61190 64090 79547 82290 91785 93262 96135 104023 107610 139893 159094 183570 192270 208046 233155 238641 279786 312069 397735 466310 477282 520115 624138 699465 795470 1040230 1193205 1352299 1398930 1560345 2386410 2704598 3120690 4056897 6761495 8113794 13522990 20284485 40568970