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5190768 = 24321129113
BaseRepresentation
bin10011110011010001110000
3100202201101200
4103303101300
52312101033
6303131200
762056302
oct23632160
910681350
105190768
112a259a0
1218a3b00
1310c987b
14991972
156c8013
hex4f3470

5190768 has 120 divisors (see below), whose sum is σ = 16539120. Its totient is φ = 1505280.

The previous prime is 5190721. The next prime is 5190769. The reversal of 5190768 is 8670915.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5190769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45880 + ... + 45992.

It is an arithmetic number, because the mean of its divisors is an integer number (137826).

Almost surely, 25190768 is an apocalyptic number.

5190768 is a gapful number since it is divisible by the number (58) 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 5190768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8269560).

5190768 is an abundant number, since it is smaller than the sum of its proper divisors (11348352).

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

5190768 is a wasteful number, since it uses less digits than its factorization.

5190768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 5190768 is about 2278.3257010357. The cubic root of 5190768 is about 173.1452331612.

The spelling of 5190768 in words is "five million, one hundred ninety thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 29 33 36 44 48 58 66 72 87 88 99 113 116 132 144 174 176 198 226 232 261 264 319 339 348 396 452 464 522 528 638 678 696 792 904 957 1017 1044 1243 1276 1356 1392 1584 1808 1914 2034 2088 2486 2552 2712 2871 3277 3729 3828 4068 4176 4972 5104 5424 5742 6554 7458 7656 8136 9831 9944 11187 11484 13108 14916 15312 16272 19662 19888 22374 22968 26216 29493 29832 36047 39324 44748 45936 52432 58986 59664 72094 78648 89496 108141 117972 144188 157296 178992 216282 235944 288376 324423 432564 471888 576752 648846 865128 1297692 1730256 2595384 5190768