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5100672 = 27337359
BaseRepresentation
bin10011011101010010000000
3100121010210210
4103131102000
52301210142
6301154120
761232523
oct23352200
910533723
105100672
112974235
12185b940
131097865
1496abba
156ab49c
hex4dd480

5100672 has 64 divisors (see below), whose sum is σ = 13953600. Its totient is φ = 1649664.

The previous prime is 5100671. The next prime is 5100673. The reversal of 5100672 is 2760015.

It is an interprime number because it is at equal distance from previous prime (5100671) and next prime (5100673).

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (5100671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14029 + ... + 14387.

It is an arithmetic number, because the mean of its divisors is an integer number (218025).

Almost surely, 25100672 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 5100672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6976800).

5100672 is an abundant number, since it is smaller than the sum of its proper divisors (8852928).

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

5100672 is a wasteful number, since it uses less digits than its factorization.

5100672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 5100672 is about 2258.4667365272. The cubic root of 5100672 is about 172.1376219629.

Adding to 5100672 its reverse (2760015), we get a palindrome (7860687).

The spelling of 5100672 in words is "five million, one hundred thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 296 359 384 444 592 718 888 1077 1184 1436 1776 2154 2368 2872 3552 4308 4736 5744 7104 8616 11488 13283 14208 17232 22976 26566 34464 39849 45952 53132 68928 79698 106264 137856 159396 212528 318792 425056 637584 850112 1275168 1700224 2550336 5100672