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5435320 = 2351121123
BaseRepresentation
bin10100101110111110111000
3101020010212011
4110232332320
52342412240
6312255304
764125262
oct24567670
911203764
105435320
113082700
1219a1534
131183c87
14a16b32
157256ea
hex52efb8

5435320 has 48 divisors (see below), whose sum is σ = 13454280. Its totient is φ = 1974720.

The previous prime is 5435303. The next prime is 5435333. The reversal of 5435320 is 235345.

It is a Smith number, since the sum of its digits (22) 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 (22).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 5435291 and 5435300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4279 + ... + 5401.

Almost surely, 25435320 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 5435320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6727140).

5435320 is an abundant number, since it is smaller than the sum of its proper divisors (8018960).

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

5435320 is a wasteful number, since it uses less digits than its factorization.

5435320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 22.

The square root of 5435320 is about 2331.3772753461. The cubic root of 5435320 is about 175.8227381939.

The spelling of 5435320 in words is "five million, four hundred thirty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1123 1210 2246 2420 4492 4840 5615 8984 11230 12353 22460 24706 44920 49412 61765 98824 123530 135883 247060 271766 494120 543532 679415 1087064 1358830 2717660 5435320