Search a number
-
+
40568080 = 2457279131
BaseRepresentation
bin1001101011000…
…0010100010000
32211100001221111
42122300110100
540341134310
64005303104
71001552200
oct232602420
984301844
1040568080
1120999443
1211704a94
1385352a7
145560400
15386528a
hex26b0510

40568080 has 120 divisors (see below), whose sum is σ = 111957120. Its totient is φ = 13628160.

The previous prime is 40568053. The next prime is 40568083. The reversal of 40568080 is 8086504.

It is a super-2 number, since 2×405680802 = 3291538229772800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40568083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 309615 + ... + 309745.

It is an arithmetic number, because the mean of its divisors is an integer number (932976).

Almost surely, 240568080 is an apocalyptic number.

40568080 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 40568080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55978560).

40568080 is an abundant number, since it is smaller than the sum of its proper divisors (71389040).

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

40568080 is a wasteful number, since it uses less digits than its factorization.

40568080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 40568080 is about 6369.3076546827. The cubic root of 40568080 is about 343.6065900961.

The spelling of 40568080 in words is "forty million, five hundred sixty-eight thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 79 80 98 112 131 140 158 196 245 262 280 316 392 395 490 524 553 560 632 655 784 790 917 980 1048 1106 1264 1310 1580 1834 1960 2096 2212 2620 2765 3160 3668 3871 3920 4424 4585 5240 5530 6320 6419 7336 7742 8848 9170 10349 10480 11060 12838 14672 15484 18340 19355 20698 22120 25676 30968 32095 36680 38710 41396 44240 51352 51745 61936 64190 72443 73360 77420 82792 102704 103490 128380 144886 154840 165584 206980 256760 289772 309680 362215 413960 507101 513520 579544 724430 827920 1014202 1159088 1448860 2028404 2535505 2897720 4056808 5071010 5795440 8113616 10142020 20284040 40568080