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68113920 = 293572181
BaseRepresentation
bin1000000111101…
…01011000000000
311202011112201210
410003311120000
5114414121140
610431530120
71454646600
oct403653000
9152145653
1068113920
11354a2aa6
121a989940
131115b1c4
149090c00
155ea6d80
hex40f5600

68113920 has 240 divisors, whose sum is σ = 254702448. Its totient is φ = 15482880.

The previous prime is 68113909. The next prime is 68113937. The reversal of 68113920 is 2931186.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 376230 + ... + 376410.

Almost surely, 268113920 is an apocalyptic number.

68113920 is a gapful number since it is divisible by the number (60) 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 68113920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127351224).

68113920 is an abundant number, since it is smaller than the sum of its proper divisors (186588528).

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

68113920 is a wasteful number, since it uses less digits than its factorization.

68113920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 68113920 is about 8253.1157752694. The cubic root of 68113920 is about 408.3933154515.

It can be divided in two parts, 6811 and 3920, that added together give a triangular number (10731 = T146).

The spelling of 68113920 in words is "sixty-eight million, one hundred thirteen thousand, nine hundred twenty".