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10074240 = 273351153
BaseRepresentation
bin100110011011…
…100010000000
3200221211021000
4212123202000
510034333430
6555532000
7151425651
oct46334200
920854230
1010074240
115760a20
12345a000
1321195b7
1414a3528
15d3ee60
hex99b880

10074240 has 256 divisors, whose sum is σ = 39657600. Its totient is φ = 2396160.

The previous prime is 10074209. The next prime is 10074241. The reversal of 10074240 is 4247001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10074241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190054 + ... + 190106.

Almost surely, 210074240 is an apocalyptic number.

10074240 is a gapful number since it is divisible by the number (10) 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 10074240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19828800).

10074240 is an abundant number, since it is smaller than the sum of its proper divisors (29583360).

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

10074240 is a wasteful number, since it uses less digits than its factorization.

10074240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 10074240 is about 3173.9943289174. The cubic root of 10074240 is about 215.9753058189.

The spelling of 10074240 in words is "ten million, seventy-four thousand, two hundred forty".