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93668016 = 24313374057
BaseRepresentation
bin1011001010101…
…00001010110000
320112020211100210
411211110022300
5142434334031
613143344120
72215110411
oct545241260
9215224323
1093668016
1148967192
1227452040
1316537680
14c623808
158353746
hex59542b0

93668016 has 80 divisors (see below), whose sum is σ = 267698144. Its totient is φ = 28035072.

The previous prime is 93667997. The next prime is 93668023. The reversal of 93668016 is 61086639.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21060 + ... + 25116.

Almost surely, 293668016 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 93668016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133849072).

93668016 is an abundant number, since it is smaller than the sum of its proper divisors (174030128).

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

93668016 is a wasteful number, since it uses less digits than its factorization.

93668016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4118 (or 4112 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 93668016 is about 9678.2238039839. The cubic root of 93668016 is about 454.1476875309.

The spelling of 93668016 in words is "ninety-three million, six hundred sixty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 37 39 48 52 74 78 104 111 148 156 208 222 296 312 444 481 592 624 888 962 1443 1776 1924 2886 3848 4057 5772 7696 8114 11544 12171 16228 23088 24342 32456 48684 52741 64912 97368 105482 150109 158223 194736 210964 300218 316446 421928 450327 600436 632892 843856 900654 1200872 1265784 1801308 1951417 2401744 2531568 3602616 3902834 5854251 7205232 7805668 11708502 15611336 23417004 31222672 46834008 93668016