Search a number
-
+
93381012 = 2235234177
BaseRepresentation
bin1011001000011…
…10000110010100
320111201020200000
411210032012110
5142401143022
613133251300
72212503564
oct544160624
9214636600
1093381012
114879059a
1227333b30
1316466b4a
14c58ada4
1582e86ac
hex590e194

93381012 has 72 divisors (see below), whose sum is σ = 255493056. Its totient is φ = 29766528.

The previous prime is 93380999. The next prime is 93381023. The reversal of 93381012 is 21018339.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 20268 + ... + 24444.

Almost surely, 293381012 is an apocalyptic number.

93381012 is a gapful number since it is divisible by the number (92) 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 93381012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127746528).

93381012 is an abundant number, since it is smaller than the sum of its proper divisors (162112044).

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

93381012 is a wasteful number, since it uses less digits than its factorization.

93381012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4219 (or 4205 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 93381012 is about 9663.3851211674. The cubic root of 93381012 is about 453.6833684004.

The spelling of 93381012 in words is "ninety-three million, three hundred eighty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 243 276 324 414 486 621 828 972 1242 1863 2484 3726 4177 5589 7452 8354 11178 12531 16708 22356 25062 37593 50124 75186 96071 112779 150372 192142 225558 288213 338337 384284 451116 576426 676674 864639 1015011 1152852 1353348 1729278 2030022 2593917 3458556 4060044 5187834 7781751 10375668 15563502 23345253 31127004 46690506 93381012