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5403216 = 2437131237
BaseRepresentation
bin10100100111001001010000
3101011111211010
4110213021100
52340400331
6311450520
763632550
oct24471120
911144733
105403216
113060575
121986a40
131172490
14a09160
1571ae46
hex527250

5403216 has 80 divisors (see below), whose sum is σ = 17193344. Its totient is φ = 1423872.

The previous prime is 5403169. The next prime is 5403247. The reversal of 5403216 is 6123045.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 5403192 and 5403201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3750 + ... + 4986.

Almost surely, 25403216 is an apocalyptic number.

5403216 is a gapful number since it is divisible by the number (56) 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 5403216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8596672).

5403216 is an abundant number, since it is smaller than the sum of its proper divisors (11790128).

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

5403216 is a wasteful number, since it uses less digits than its factorization.

5403216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 5403216 is about 2324.4818777525. The cubic root of 5403216 is about 175.4758856812.

The spelling of 5403216 in words is "five million, four hundred three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1237 1456 2184 2474 3711 4368 4948 7422 8659 9896 14844 16081 17318 19792 25977 29688 32162 34636 48243 51954 59376 64324 69272 96486 103908 112567 128648 138544 192972 207816 225134 257296 337701 385944 415632 450268 675402 771888 900536 1350804 1801072 2701608 5403216