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71749920 = 253511107127
BaseRepresentation
bin1000100011011…
…01000100100000
312000000021101110
410101231010200
5121331444140
611041503320
71530602304
oct421550440
9160007343
1071749920
1137556860
1220041b40
1311b32198
149759d04
156474380
hex446d120

71749920 has 192 divisors, whose sum is σ = 250822656. Its totient is φ = 17095680.

The previous prime is 71749913. The next prime is 71749921. The reversal of 71749920 is 2994717.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71749921) 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, 564897 + ... + 565023.

It is an arithmetic number, because the mean of its divisors is an integer number (1306368).

Almost surely, 271749920 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 71749920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125411328).

71749920 is an abundant number, since it is smaller than the sum of its proper divisors (179072736).

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

71749920 is a wasteful number, since it uses less digits than its factorization.

71749920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 39.

The square root of 71749920 is about 8470.5324507967. The cubic root of 71749920 is about 415.5345509172.

The spelling of 71749920 in words is "seventy-one million, seven hundred forty-nine thousand, nine hundred twenty".