Search a number
-
+
93439080 = 23325725297
BaseRepresentation
bin1011001000111…
…00010001101000
320111211012022200
411210130101220
5142410022310
613134420200
72213135100
oct544342150
9214735280
1093439080
1148820189
1227361660
13164873c7
14c5a4200
15830a9c0
hex591c468

93439080 has 144 divisors (see below), whose sum is σ = 353323620. Its totient is φ = 21353472.

The previous prime is 93439079. The next prime is 93439081. The reversal of 93439080 is 8093439.

It is an interprime number because it is at equal distance from previous prime (93439079) and next prime (93439081).

It can be written as a sum of positive squares in 2 ways, for example, as 92505924 + 933156 = 9618^2 + 966^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (93439081) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 14992 + ... + 20288.

Almost surely, 293439080 is an apocalyptic number.

93439080 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93439080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176661810).

93439080 is an abundant number, since it is smaller than the sum of its proper divisors (259884540).

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

93439080 is a wasteful number, since it uses less digits than its factorization.

93439080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5328 (or 5314 counting only the distinct ones).

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

The square root of 93439080 is about 9666.3891914199. The cubic root of 93439080 is about 453.7773883247. Note that the first 3 decimals are identical.

The spelling of 93439080 in words is "ninety-three million, four hundred thirty-nine thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 49 56 60 63 70 72 84 90 98 105 120 126 140 147 168 180 196 210 245 252 280 294 315 360 392 420 441 490 504 588 630 735 840 882 980 1176 1260 1470 1764 1960 2205 2520 2940 3528 4410 5297 5880 8820 10594 15891 17640 21188 26485 31782 37079 42376 47673 52970 63564 74158 79455 95346 105940 111237 127128 148316 158910 185395 190692 211880 222474 238365 259553 296632 317820 333711 370790 381384 444948 476730 519106 556185 635640 667422 741580 778659 889896 953460 1038212 1112370 1297765 1334844 1483160 1557318 1668555 1906920 2076424 2224740 2335977 2595530 2669688 3114636 3337110 3893295 4449480 4671954 5191060 6229272 6674220 7786590 9343908 10382120 11679885 13348440 15573180 18687816 23359770 31146360 46719540 93439080