Search a number
-
+
5350104 = 2333173147
BaseRepresentation
bin10100011010001011011000
3101001210222000
4110122023120
52332200404
6310401000
763321654
oct24321330
911053860
105350104
113024681
121960160
131154256
149d3a64
1570a339
hex51a2d8

5350104 has 128 divisors (see below), whose sum is σ = 16588800. Its totient is φ = 1589760.

The previous prime is 5350067. The next prime is 5350139. The reversal of 5350104 is 4010535.

It is a super-2 number, since 2×53501042 = 57247225621632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113809 + ... + 113855.

It is an arithmetic number, because the mean of its divisors is an integer number (129600).

Almost surely, 25350104 is an apocalyptic number.

5350104 is a gapful number since it is divisible by the number (54) 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 5350104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8294400).

5350104 is an abundant number, since it is smaller than the sum of its proper divisors (11238696).

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

5350104 is a wasteful number, since it uses less digits than its factorization.

5350104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 5350104 is about 2313.0291826953. The cubic root of 5350104 is about 174.8990329142.

Adding to 5350104 its reverse (4010535), we get a palindrome (9360639).

The spelling of 5350104 in words is "five million, three hundred fifty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 31 34 36 47 51 54 62 68 72 93 94 102 108 124 136 141 153 186 188 204 216 248 279 282 306 372 376 408 423 459 527 558 564 612 744 799 837 846 918 1054 1116 1128 1224 1269 1457 1581 1598 1674 1692 1836 2108 2232 2397 2538 2914 3162 3196 3348 3384 3672 4216 4371 4743 4794 5076 5828 6324 6392 6696 7191 8742 9486 9588 10152 11656 12648 13113 14229 14382 17484 18972 19176 21573 24769 26226 28458 28764 34968 37944 39339 43146 49538 52452 56916 57528 74307 78678 86292 99076 104904 113832 148614 157356 172584 198152 222921 297228 314712 445842 594456 668763 891684 1337526 1783368 2675052 5350104