Search a number
-
+
10591380 = 22325292029
BaseRepresentation
bin101000011001…
…110010010100
3201221002122100
4220121302110
510202411010
61015002100
7156011442
oct50316224
921832570
1010591380
115a84508
123669330
13226aab7
141599b92
15de32c0
hexa19c94

10591380 has 72 divisors (see below), whose sum is σ = 33251400. Its totient is φ = 2725632.

The previous prime is 10591363. The next prime is 10591397. The reversal of 10591380 is 8319501.

It is an interprime number because it is at equal distance from previous prime (10591363) and next prime (10591397).

It can be written as a sum of positive squares in 4 ways, for example, as 4210704 + 6380676 = 2052^2 + 2526^2 .

It is a super-2 number, since 2×105913802 = 224354660608800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4206 + ... + 6234.

It is an arithmetic number, because the mean of its divisors is an integer number (461825).

Almost surely, 210591380 is an apocalyptic number.

10591380 is a gapful number since it is divisible by the number (10) 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 10591380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16625700).

10591380 is an abundant number, since it is smaller than the sum of its proper divisors (22660020).

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

10591380 is a wasteful number, since it uses less digits than its factorization.

10591380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2073 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 10591380 is about 3254.4400440014. The cubic root of 10591380 is about 219.6093618790.

The spelling of 10591380 in words is "ten million, five hundred ninety-one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2029 2610 4058 5220 6087 8116 10145 12174 18261 20290 24348 30435 36522 40580 58841 60870 73044 91305 117682 121740 176523 182610 235364 294205 353046 365220 529569 588410 706092 882615 1059138 1176820 1765230 2118276 2647845 3530460 5295690 10591380