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240870096 = 24325928351
BaseRepresentation
bin11100101101101…
…10001011010000
3121210020110122200
432112312023100
5443130320341
635522403200
75653235115
oct1626661320
9553213580
10240870096
11113a682a5
1268800500
133ab96bac
1423dc090c
151622ddb6
hexe5b62d0

240870096 has 60 divisors (see below), whose sum is σ = 685551360. Its totient is φ = 78926400.

The previous prime is 240870079. The next prime is 240870103. The reversal of 240870096 is 690078042.

240870096 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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 240870096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5680 + ... + 22671.

It is an arithmetic number, because the mean of its divisors is an integer number (11425856).

Almost surely, 2240870096 is an apocalyptic number.

It is an amenable number.

240870096 is an abundant number, since it is smaller than the sum of its proper divisors (444681264).

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

240870096 is a wasteful number, since it uses less digits than its factorization.

240870096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28424 (or 28415 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 240870096 is about 15519.9902061825. The cubic root of 240870096 is about 622.1965928408.

The spelling of 240870096 in words is "two hundred forty million, eight hundred seventy thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 59 72 118 144 177 236 354 472 531 708 944 1062 1416 2124 2832 4248 8496 28351 56702 85053 113404 170106 226808 255159 340212 453616 510318 680424 1020636 1360848 1672709 2041272 3345418 4082544 5018127 6690836 10036254 13381672 15054381 20072508 26763344 30108762 40145016 60217524 80290032 120435048 240870096