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5415936 = 21034143
BaseRepresentation
bin10100101010010000000000
3101012011021020
4110222100000
52341302221
6312025440
764014621
oct24522000
911164236
105415936
11306a089
121992280
1311781c6
14a0da48
1571eac6
hex52a400

5415936 has 88 divisors (see below), whose sum is σ = 15131424. Its totient is φ = 1720320.

The previous prime is 5415929. The next prime is 5415937. The reversal of 5415936 is 6395145.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 5415897 and 5415906.

It is not an unprimeable number, because it can be changed into a prime (5415937) 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, 125931 + ... + 125973.

It is an arithmetic number, because the mean of its divisors is an integer number (171948).

Almost surely, 25415936 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 5415936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7565712).

5415936 is an abundant number, since it is smaller than the sum of its proper divisors (9715488).

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

5415936 is a wasteful number, since it uses less digits than its factorization.

5415936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 89 counting only the distinct ones).

The product of its digits is 16200, while the sum is 33.

The square root of 5415936 is about 2327.2163629538. The cubic root of 5415936 is about 175.6134768257.

The spelling of 5415936 in words is "five million, four hundred fifteen thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 43 48 64 82 86 96 123 128 129 164 172 192 246 256 258 328 344 384 492 512 516 656 688 768 984 1024 1032 1312 1376 1536 1763 1968 2064 2624 2752 3072 3526 3936 4128 5248 5289 5504 7052 7872 8256 10496 10578 11008 14104 15744 16512 20992 21156 22016 28208 31488 33024 41984 42312 44032 56416 62976 66048 84624 112832 125952 132096 169248 225664 338496 451328 676992 902656 1353984 1805312 2707968 5415936