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5380956 = 22327131163
BaseRepresentation
bin10100100001101101011100
3101010101021200
4110201231130
52334142311
6311155500
763510630
oct24415534
911111250
105380956
113045879
121975b90
1311652c9
14a00dc0
15714556
hex521b5c

5380956 has 72 divisors (see below), whose sum is σ = 15759744. Its totient is φ = 1516320.

The previous prime is 5380951. The next prime is 5380987. The reversal of 5380956 is 6590835.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 5380956.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5380951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32931 + ... + 33093.

Almost surely, 25380956 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 5380956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7879872).

5380956 is an abundant number, since it is smaller than the sum of its proper divisors (10378788).

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

5380956 is a wasteful number, since it uses less digits than its factorization.

5380956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 5380956 is about 2319.6887722279. The cubic root of 5380956 is about 175.2345806514.

It can be divided in two parts, 5380 and 956, that added together give a palindrome (6336).

The spelling of 5380956 in words is "five million, three hundred eighty thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 131 163 252 262 326 393 489 524 652 786 917 978 1141 1179 1467 1572 1834 1956 2282 2358 2751 2934 3423 3668 4564 4716 5502 5868 6846 8253 10269 11004 13692 16506 20538 21353 33012 41076 42706 64059 85412 128118 149471 192177 256236 298942 384354 448413 597884 768708 896826 1345239 1793652 2690478 5380956