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5355210 = 235723643
BaseRepresentation
bin10100011011011011001010
3101002001222010
4110123123022
52332331320
6310440350
763342600
oct24333312
911061863
105355210
1130284a3
1219630b6
131156683
149d5870
1570bae0
hex51b6ca

5355210 has 48 divisors (see below), whose sum is σ = 14954976. Its totient is φ = 1223712.

The previous prime is 5355199. The next prime is 5355211. The reversal of 5355210 is 125535.

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

It is not an unprimeable number, because it can be changed into a prime (5355211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 352 + ... + 3291.

It is an arithmetic number, because the mean of its divisors is an integer number (311562).

Almost surely, 25355210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5355210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7477488).

5355210 is an abundant number, since it is smaller than the sum of its proper divisors (9599766).

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

5355210 is a wasteful number, since it uses less digits than its factorization.

5355210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3667 (or 3660 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 21.

The square root of 5355210 is about 2314.1326668970. The cubic root of 5355210 is about 174.9546549181.

It can be divided in two parts, 5355 and 210, that added together give a triangular number (5565 = T105).

The spelling of 5355210 in words is "five million, three hundred fifty-five thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 1470 3643 7286 10929 18215 21858 25501 36430 51002 54645 76503 109290 127505 153006 178507 255010 357014 382515 535521 765030 892535 1071042 1785070 2677605 5355210