Search a number
-
+
10319140 = 2251324371
BaseRepresentation
bin100111010111…
…010100100100
3201102021012101
4213113110210
510120203030
61005101444
7153465646
oct47272444
921367171
1010319140
115908a17
123557884
1321a3c00
141528896
15d8c7ca
hex9d7524

10319140 has 72 divisors (see below), whose sum is σ = 24349248. Its totient is φ = 3669120.

The previous prime is 10319129. The next prime is 10319143. The reversal of 10319140 is 4191301.

10319140 = 3662 + 3672 + ... + 4302.

It is a happy number.

10319140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10319143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145305 + ... + 145375.

It is an arithmetic number, because the mean of its divisors is an integer number (338184).

Almost surely, 210319140 is an apocalyptic number.

10319140 is a gapful number since it is divisible by the number (10) 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 10319140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12174624).

10319140 is an abundant number, since it is smaller than the sum of its proper divisors (14030108).

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

10319140 is a wasteful number, since it uses less digits than its factorization.

10319140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 10319140 is about 3212.3418248997. The cubic root of 10319140 is about 217.7113988157.

The spelling of 10319140 in words is "ten million, three hundred nineteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 43 52 65 71 86 130 142 169 172 215 260 284 338 355 430 559 676 710 845 860 923 1118 1420 1690 1846 2236 2795 3053 3380 3692 4615 5590 6106 7267 9230 11180 11999 12212 14534 15265 18460 23998 29068 30530 36335 39689 47996 59995 61060 72670 79378 119990 145340 158756 198445 239980 396890 515957 793780 1031914 2063828 2579785 5159570 10319140