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93324105 = 32571931503
BaseRepresentation
bin1011001000000…
…00001101001001
320111121100121100
411210000031021
5142342332410
613132132013
72212145640
oct544001511
9214540540
1093324105
1148751866
1227307009
1316446c84
14c574357
1582d68c0
hex5900349

93324105 has 96 divisors (see below), whose sum is σ = 201277440. Its totient is φ = 39035520.

The previous prime is 93324089. The next prime is 93324107. The reversal of 93324105 is 50142339.

It is not a de Polignac number, because 93324105 - 24 = 93324089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (93324107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 185284 + ... + 185786.

It is an arithmetic number, because the mean of its divisors is an integer number (2096640).

Almost surely, 293324105 is an apocalyptic number.

93324105 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

93324105 is an abundant number, since it is smaller than the sum of its proper divisors (107953335).

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

93324105 is a wasteful number, since it uses less digits than its factorization.

93324105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 93324105 is about 9660.4402073612. The cubic root of 93324105 is about 453.5911904684.

The spelling of 93324105 in words is "ninety-three million, three hundred twenty-four thousand, one hundred five".

Divisors: 1 3 5 7 9 15 19 21 31 35 45 57 63 93 95 105 133 155 171 217 279 285 315 399 465 503 589 651 665 855 1085 1197 1395 1509 1767 1953 1995 2515 2945 3255 3521 4123 4527 5301 5985 7545 8835 9557 9765 10563 12369 15593 17605 20615 22635 26505 28671 31689 37107 46779 47785 52815 61845 66899 77965 86013 109151 140337 143355 158445 185535 200697 233895 296267 327453 334495 430065 545755 602091 701685 888801 982359 1003485 1481335 1637265 2073869 2666403 3010455 4444005 4911795 6221607 10369345 13332015 18664821 31108035 93324105