Search a number
-
+
93998820 = 22353197521
BaseRepresentation
bin1011001101001…
…00111011100100
320112212122010210
411212210323210
5143030430240
613154415420
72220656016
oct546447344
9215778123
1093998820
1149072783
1227591570
1316622106
14c6ac1b6
1583bb780
hex59a4ee4

93998820 has 96 divisors (see below), whose sum is σ = 275014656. Its totient is φ = 23961600.

The previous prime is 93998819. The next prime is 93998837. The reversal of 93998820 is 2889939.

It is a super-2 number, since 2×939988202 = 17671556322784800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 93998820.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180160 + ... + 180680.

It is an arithmetic number, because the mean of its divisors is an integer number (2864736).

Almost surely, 293998820 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 93998820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137507328).

93998820 is an abundant number, since it is smaller than the sum of its proper divisors (181015836).

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

93998820 is a wasteful number, since it uses less digits than its factorization.

93998820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The square root of 93998820 is about 9695.2988607882. The cubic root of 93998820 is about 454.6816917929.

The spelling of 93998820 in words is "ninety-three million, nine hundred ninety-eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 97 124 155 186 194 291 310 372 388 465 485 521 582 620 930 970 1042 1164 1455 1563 1860 1940 2084 2605 2910 3007 3126 5210 5820 6014 6252 7815 9021 10420 12028 15035 15630 16151 18042 30070 31260 32302 36084 45105 48453 50537 60140 64604 80755 90210 96906 101074 151611 161510 180420 193812 202148 242265 252685 303222 323020 484530 505370 606444 758055 969060 1010740 1516110 1566647 3032220 3133294 4699941 6266588 7833235 9399882 15666470 18799764 23499705 31332940 46999410 93998820