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68000240 = 24572111983
BaseRepresentation
bin1000000110110…
…01100111110000
311201221202210102
410003121213300
5114402001430
610425251532
71453664300
oct403314760
9151852712
1068000240
1135425650
121a933ba8
131111b539
149061600
155e83345
hex40d99f0

68000240 has 240 divisors, whose sum is σ = 213736320. Its totient is φ = 19837440.

The previous prime is 68000239. The next prime is 68000281. The reversal of 68000240 is 4200086.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 819239 + ... + 819321.

It is an arithmetic number, because the mean of its divisors is an integer number (890568).

Almost surely, 268000240 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 68000240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106868160).

68000240 is an abundant number, since it is smaller than the sum of its proper divisors (145736080).

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

68000240 is a wasteful number, since it uses less digits than its factorization.

68000240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 68000240 is about 8246.2258033600. The cubic root of 68000240 is about 408.1659903859.

The spelling of 68000240 in words is "sixty-eight million, two hundred forty", and thus it is an aban number.