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5362720 = 255112277
BaseRepresentation
bin10100011101010000100000
3101002110021021
4110131100200
52333101340
6310535224
763403516
oct24352040
911073237
105362720
113033100
121967514
131159c0c
149d84b6
1570de4a
hex51d420

5362720 has 72 divisors (see below), whose sum is σ = 13976172. Its totient is φ = 1943040.

The previous prime is 5362711. The next prime is 5362727. The reversal of 5362720 is 272635.

It can be written as a sum of positive squares in 2 ways, for example, as 5035536 + 327184 = 2244^2 + 572^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (5362727) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19222 + ... + 19498.

Almost surely, 25362720 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 5362720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6988086).

5362720 is an abundant number, since it is smaller than the sum of its proper divisors (8613452).

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

5362720 is a wasteful number, since it uses less digits than its factorization.

5362720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 5362720 is about 2315.7547365816. The cubic root of 5362720 is about 175.0364005913.

The spelling of 5362720 in words is "five million, three hundred sixty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 121 160 176 220 242 277 352 440 484 554 605 880 968 1108 1210 1385 1760 1936 2216 2420 2770 3047 3872 4432 4840 5540 6094 8864 9680 11080 12188 15235 19360 22160 24376 30470 33517 44320 48752 60940 67034 97504 121880 134068 167585 243760 268136 335170 487520 536272 670340 1072544 1340680 2681360 5362720