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5307072 = 263131211
BaseRepresentation
bin10100001111101011000000
3100222121221020
4110033223000
52324311242
6305425440
763052341
oct24175300
910877836
105307072
112aa5311
12193b280
13113a7a4
149c20c8
156ec6ec
hex50fac0

5307072 has 56 divisors (see below), whose sum is σ = 14215872. Its totient is φ = 1747200.

The previous prime is 5307059. The next prime is 5307073. The reversal of 5307072 is 2707035.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (5307073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25047 + ... + 25257.

Almost surely, 25307072 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 5307072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7107936).

5307072 is an abundant number, since it is smaller than the sum of its proper divisors (8908800).

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

5307072 is a wasteful number, since it uses less digits than its factorization.

5307072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 24.

The square root of 5307072 is about 2303.7083148697. The cubic root of 5307072 is about 174.4288536274.

The spelling of 5307072 in words is "five million, three hundred seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 131 192 211 262 393 422 524 633 786 844 1048 1266 1572 1688 2096 2532 3144 3376 4192 5064 6288 6752 8384 10128 12576 13504 20256 25152 27641 40512 55282 82923 110564 165846 221128 331692 442256 663384 884512 1326768 1769024 2653536 5307072