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93681630 = 2335727397
BaseRepresentation
bin1011001010101…
…11011111011110
320112021112001000
411211113133132
5142440303010
613143531130
72215165200
oct545273736
9215245030
1093681630
1148976439
1227459aa6
1316540923
14c628770
1583577c0
hex59577de

93681630 has 192 divisors, whose sum is σ = 297622080. Its totient is φ = 20901888.

The previous prime is 93681607. The next prime is 93681689. The reversal of 93681630 is 3618639.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 965742 + ... + 965838.

It is an arithmetic number, because the mean of its divisors is an integer number (1550115).

Almost surely, 293681630 is an apocalyptic number.

93681630 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 93681630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148811040).

93681630 is an abundant number, since it is smaller than the sum of its proper divisors (203940450).

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

93681630 is a wasteful number, since it uses less digits than its factorization.

93681630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 93681630 is about 9678.9271099642. The cubic root of 93681630 is about 454.1696888763.

The spelling of 93681630 in words is "ninety-three million, six hundred eighty-one thousand, six hundred thirty".