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10293696 = 263372337
BaseRepresentation
bin100111010001…
…000111000000
3201100222022000
4213101013000
510113344241
61004344000
7153331530
oct47210700
921328260
1010293696
1158a0896
123545000
13219545a
14151d4c0
15d84eb6
hex9d11c0

10293696 has 224 divisors, whose sum is σ = 37063680. Its totient is φ = 2737152.

The previous prime is 10293683. The next prime is 10293739. The reversal of 10293696 is 69639201.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10293696.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 278190 + ... + 278226.

Almost surely, 210293696 is an apocalyptic number.

10293696 is a gapful number since it is divisible by the number (16) 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 10293696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18531840).

10293696 is an abundant number, since it is smaller than the sum of its proper divisors (26769984).

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

10293696 is a wasteful number, since it uses less digits than its factorization.

10293696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 10293696 is about 3208.3790299776. The cubic root of 10293696 is about 217.5323138672.

The spelling of 10293696 in words is "ten million, two hundred ninety-three thousand, six hundred ninety-six".