Search a number
-
+
1915140 = 223559541
BaseRepresentation
bin111010011100100000100
310121022002010
413103210010
5442241030
6105014220
722164333
oct7234404
93538063
101915140
111098967
12784370
13520926
1437bd1a
1527c6b0
hex1d3904

1915140 has 48 divisors (see below), whose sum is σ = 5463360. Its totient is φ = 501120.

The previous prime is 1915117. The next prime is 1915153. The reversal of 1915140 is 415191.

It is a super-2 number, since 2×19151402 = 7335522439200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3270 + ... + 3810.

It is an arithmetic number, because the mean of its divisors is an integer number (113820).

21915140 is an apocalyptic number.

1915140 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 1915140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2731680).

1915140 is an abundant number, since it is smaller than the sum of its proper divisors (3548220).

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

1915140 is a wasteful number, since it uses less digits than its factorization.

1915140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The square root of 1915140 is about 1383.8858334415. The cubic root of 1915140 is about 124.1843425331.

It can be divided in two parts, 19151 and 40, that added together give a palindrome (19191).

The spelling of 1915140 in words is "one million, nine hundred fifteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 177 236 295 354 541 590 708 885 1082 1180 1623 1770 2164 2705 3246 3540 5410 6492 8115 10820 16230 31919 32460 63838 95757 127676 159595 191514 319190 383028 478785 638380 957570 1915140