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5205468 = 2231721979
BaseRepresentation
bin10011110110110111011100
3100210110120010
4103312313130
52313033333
6303323220
762150202
oct23666734
910713503
105205468
112a35a44
1218b0510
131103478
14997072
156cc563
hex4f6ddc

5205468 has 72 divisors (see below), whose sum is σ = 13753600. Its totient is φ = 1527552.

The previous prime is 5205467. The next prime is 5205469. The reversal of 5205468 is 8645025.

It is an interprime number because it is at equal distance from previous prime (5205467) and next prime (5205469).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5205461) 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, 65853 + ... + 65931.

Almost surely, 25205468 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 5205468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6876800).

5205468 is an abundant number, since it is smaller than the sum of its proper divisors (8548132).

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

5205468 is a wasteful number, since it uses less digits than its factorization.

5205468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 5205468 is about 2281.5494734938. The cubic root of 5205468 is about 173.3085253779.

The spelling of 5205468 in words is "five million, two hundred five thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 79 102 114 158 204 228 237 289 316 323 474 578 646 867 948 969 1156 1292 1343 1501 1734 1938 2686 3002 3468 3876 4029 4503 5372 5491 6004 8058 9006 10982 16116 16473 18012 21964 22831 25517 32946 45662 51034 65892 68493 76551 91324 102068 136986 153102 273972 306204 433789 867578 1301367 1735156 2602734 5205468