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5194112 = 277111731
BaseRepresentation
bin10011110100000110000000
3100202212222112
4103310012000
52312202422
6303154452
762102120
oct23640600
910685875
105194112
112a28460
1218a5a28
1310cb251
14992c80
156c8ee2
hex4f4180

5194112 has 128 divisors (see below), whose sum is σ = 14100480. Its totient is φ = 1843200.

The previous prime is 5194109. The next prime is 5194117. The reversal of 5194112 is 2114915.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5194117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167537 + ... + 167567.

It is an arithmetic number, because the mean of its divisors is an integer number (110160).

Almost surely, 25194112 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 5194112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7050240).

5194112 is an abundant number, since it is smaller than the sum of its proper divisors (8906368).

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

5194112 is a wasteful number, since it uses less digits than its factorization.

5194112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 68 counting only the distinct ones).

The product of its digits is 360, while the sum is 23.

The square root of 5194112 is about 2279.0594551262. The cubic root of 5194112 is about 173.1824064253.

The spelling of 5194112 in words is "five million, one hundred ninety-four thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 31 32 34 44 56 62 64 68 77 88 112 119 124 128 136 154 176 187 217 224 238 248 272 308 341 352 374 434 448 476 496 527 544 616 682 704 748 868 896 952 992 1054 1088 1232 1309 1364 1408 1496 1736 1904 1984 2108 2176 2387 2464 2618 2728 2992 3472 3689 3808 3968 4216 4774 4928 5236 5456 5797 5984 6944 7378 7616 8432 9548 9856 10472 10912 11594 11968 13888 14756 15232 16864 19096 20944 21824 23188 23936 27776 29512 33728 38192 40579 41888 43648 46376 59024 67456 76384 81158 83776 92752 118048 152768 162316 167552 185504 236096 305536 324632 371008 472192 649264 742016 1298528 2597056 5194112