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5317416 = 23321321923
BaseRepresentation
bin10100010010001100101000
3101000011010100
4110102030220
52330124131
6305545400
763124446
oct24221450
911004110
105317416
113002065
121945260
131142400
149c5b96
157007e6
hex512328

5317416 has 144 divisors (see below), whose sum is σ = 17128800. Its totient is φ = 1482624.

The previous prime is 5317391. The next prime is 5317451. The reversal of 5317416 is 6147135.

5317416 = T114 + T115 + ... + T321.

Its product of digits (2520) is a multiple of the sum of its prime divisors (60).

It is a self number, because there is not a number n which added to its sum of digits gives 5317416.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 231181 + ... + 231203.

It is an arithmetic number, because the mean of its divisors is an integer number (118950).

Almost surely, 25317416 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 5317416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8564400).

5317416 is an abundant number, since it is smaller than the sum of its proper divisors (11811384).

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

5317416 is a wasteful number, since it uses less digits than its factorization.

5317416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 60 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 5317416 is about 2305.9522978587. The cubic root of 5317416 is about 174.5421063515.

The spelling of 5317416 in words is "five million, three hundred seventeen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 23 24 26 36 38 39 46 52 57 69 72 76 78 92 104 114 117 138 152 156 169 171 184 207 228 234 247 276 299 312 338 342 414 437 456 468 494 507 552 598 676 684 741 828 874 897 936 988 1014 1196 1311 1352 1368 1482 1521 1656 1748 1794 1976 2028 2223 2392 2622 2691 2964 3042 3211 3496 3588 3887 3933 4056 4446 5244 5382 5681 5928 6084 6422 7176 7774 7866 8892 9633 10488 10764 11362 11661 12168 12844 15548 15732 17043 17784 19266 21528 22724 23322 25688 28899 31096 31464 34086 34983 38532 45448 46644 51129 57798 68172 69966 73853 77064 93288 102258 115596 136344 139932 147706 204516 221559 231192 279864 295412 409032 443118 590824 664677 886236 1329354 1772472 2658708 5317416