Search a number
-
+
102438930 = 23511535857
BaseRepresentation
bin1100001101100…
…01100000010010
321010202102210110
412012301200102
5202211021210
614055342150
72352500526
oct606614022
9233672713
10102438930
1152907980
122a381956
13182b8969
14d867d86
158ed7420
hex61b1812

102438930 has 64 divisors (see below), whose sum is σ = 273310848. Its totient is φ = 24360960.

The previous prime is 102438893. The next prime is 102438961. The reversal of 102438930 is 39834201.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 14562 + ... + 20418.

It is an arithmetic number, because the mean of its divisors is an integer number (4270482).

Almost surely, 2102438930 is an apocalyptic number.

102438930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102438930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136655424).

102438930 is an abundant number, since it is smaller than the sum of its proper divisors (170871918).

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

102438930 is a wasteful number, since it uses less digits than its factorization.

102438930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5931.

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 102438930 is about 10121.2118839594. The cubic root of 102438930 is about 467.9021181079.

The spelling of 102438930 in words is "one hundred two million, four hundred thirty-eight thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 53 55 66 106 110 159 165 265 318 330 530 583 795 1166 1590 1749 2915 3498 5830 5857 8745 11714 17490 17571 29285 35142 58570 64427 87855 128854 175710 193281 310421 322135 386562 620842 644270 931263 966405 1552105 1862526 1932810 3104210 3414631 4656315 6829262 9312630 10243893 17073155 20487786 34146310 51219465 102438930