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20932496 = 2413157641
BaseRepresentation
bin100111111011…
…0011110010000
31110101110222122
41033312132100
520324314441
62024353412
7342631454
oct117663620
943343878
1020932496
11108a7992
127015868
13444b9c0
142acc664
151c8734b
hex13f6790

20932496 has 40 divisors (see below), whose sum is σ = 44023224. Its totient is φ = 9584640.

The previous prime is 20932493. The next prime is 20932543. The reversal of 20932496 is 69423902.

It can be written as a sum of positive squares in 4 ways, for example, as 2131600 + 18800896 = 1460^2 + 4336^2 .

It is not an unprimeable number, because it can be changed into a prime (20932493) 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, 32336 + ... + 32976.

Almost surely, 220932496 is an apocalyptic number.

20932496 is a gapful number since it is divisible by the number (26) 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 20932496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22011612).

20932496 is an abundant number, since it is smaller than the sum of its proper divisors (23090728).

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

20932496 is a wasteful number, since it uses less digits than its factorization.

20932496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 20932496 is about 4575.2044763049. The cubic root of 20932496 is about 275.5964837846.

The spelling of 20932496 in words is "twenty million, nine hundred thirty-two thousand, four hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 52 104 157 208 314 628 641 1256 1282 2041 2512 2564 4082 5128 8164 8333 10256 16328 16666 32656 33332 66664 100637 133328 201274 402548 805096 1308281 1610192 2616562 5233124 10466248 20932496