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5115936 = 253723331
BaseRepresentation
bin10011100001000000100000
3100121220202010
4103201000200
52302202221
6301352520
761325160
oct23410040
910556663
105115936
112984751
121868740
1310a17a7
149725a0
156b0c76
hex4e1020

5115936 has 96 divisors (see below), whose sum is σ = 16063488. Its totient is φ = 1393920.

The previous prime is 5115923. The next prime is 5115937. The reversal of 5115936 is 6395115.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (5115937) 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, 15291 + ... + 15621.

It is an arithmetic number, because the mean of its divisors is an integer number (167328).

Almost surely, 25115936 is an apocalyptic number.

5115936 is a gapful number since it is divisible by the number (56) 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 5115936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8031744).

5115936 is an abundant number, since it is smaller than the sum of its proper divisors (10947552).

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

5115936 is a wasteful number, since it uses less digits than its factorization.

5115936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 366 counting only the distinct ones).

The product of its digits is 4050, while the sum is 30.

The square root of 5115936 is about 2261.8434959121. The cubic root of 5115936 is about 172.3091609307.

The spelling of 5115936 in words is "five million, one hundred fifteen thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 69 84 92 96 112 138 161 168 184 224 276 322 331 336 368 483 552 644 662 672 736 966 993 1104 1288 1324 1932 1986 2208 2317 2576 2648 3864 3972 4634 5152 5296 6951 7613 7728 7944 9268 10592 13902 15226 15456 15888 18536 22839 27804 30452 31776 37072 45678 53291 55608 60904 74144 91356 106582 111216 121808 159873 182712 213164 222432 243616 319746 365424 426328 639492 730848 852656 1278984 1705312 2557968 5115936