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5111680 = 27572163
BaseRepresentation
bin10011011111111110000000
3100121200220111
4103133332000
52302033210
6301321104
761306600
oct23377600
910550814
105111680
112981532
121866194
13109c882
14970c00
156ae88a
hex4dff80

5111680 has 96 divisors (see below), whose sum is σ = 14302440. Its totient is φ = 1741824.

The previous prime is 5111651. The next prime is 5111693. The reversal of 5111680 is 861115.

It is a super-2 number, since 2×51116802 = 52258544844800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31279 + ... + 31441.

Almost surely, 25111680 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 5111680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7151220).

5111680 is an abundant number, since it is smaller than the sum of its proper divisors (9190760).

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

5111680 is a wasteful number, since it uses less digits than its factorization.

5111680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 22.

The square root of 5111680 is about 2260.9024746769. The cubic root of 5111680 is about 172.2613657509.

Adding to 5111680 its reverse (861115), we get a palindrome (5972795).

The spelling of 5111680 in words is "five million, one hundred eleven thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 163 196 224 245 280 320 326 392 448 490 560 640 652 784 815 896 980 1120 1141 1304 1568 1630 1960 2240 2282 2608 3136 3260 3920 4480 4564 5216 5705 6272 6520 7840 7987 9128 10432 11410 13040 15680 15974 18256 20864 22820 26080 31360 31948 36512 39935 45640 52160 63896 73024 79870 91280 104320 127792 146048 159740 182560 255584 319480 365120 511168 638960 730240 1022336 1277920 2555840 5111680