[go: up one dir, main page]

Search a number
-
+
7890564 = 22311232113
BaseRepresentation
bin11110000110011010000100
3112211212211010
4132012122010
54004444224
6441042220
7124032363
oct36063204
915755733
107890564
1144aa330
122786370
131833696
1410957da
15a5ce29
hex786684

7890564 has 72 divisors (see below), whose sum is σ = 21182112. Its totient is φ = 2266880.

The previous prime is 7890563. The next prime is 7890569. The reversal of 7890564 is 4650987.

It is a super-2 number, since 2×78905642 = 124522000476192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7890563) 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, 69772 + ... + 69884.

It is an arithmetic number, because the mean of its divisors is an integer number (294196).

Almost surely, 27890564 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 7890564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10591056).

7890564 is an abundant number, since it is smaller than the sum of its proper divisors (13291548).

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

7890564 is a wasteful number, since it uses less digits than its factorization.

7890564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 152 counting only the distinct ones).

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

The square root of 7890564 is about 2809.0147739021. The cubic root of 7890564 is about 199.0838430234.

The spelling of 7890564 in words is "seven million, eight hundred ninety thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 113 132 138 226 253 276 339 452 506 529 678 759 1012 1058 1243 1356 1518 1587 2116 2486 2599 3036 3174 3729 4972 5198 5819 6348 7458 7797 10396 11638 14916 15594 17457 23276 28589 31188 34914 57178 59777 69828 85767 114356 119554 171534 179331 239108 343068 358662 657547 717324 1315094 1972641 2630188 3945282 7890564