Search a number
-
+
15920130 = 235292631
BaseRepresentation
bin111100101110…
…110000000010
31002221211022110
4330232300002
513033421010
61325120150
7252214242
oct74566002
932854273
1015920130
118a94036
1253b9056
1333b53c5
142185b22
1515e7120
hexf2ec02

15920130 has 48 divisors (see below), whose sum is σ = 39633984. Its totient is φ = 4092480.

The previous prime is 15920129. The next prime is 15920131. The reversal of 15920130 is 3102951.

It is an interprime number because it is at equal distance from previous prime (15920129) and next prime (15920131).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 15920097 and 15920106.

It is not an unprimeable number, because it can be changed into a prime (15920131) 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 23 ways as a sum of consecutive naturals, for example, 24915 + ... + 25545.

It is an arithmetic number, because the mean of its divisors is an integer number (825708).

Almost surely, 215920130 is an apocalyptic number.

15920130 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 15920130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19816992).

15920130 is an abundant number, since it is smaller than the sum of its proper divisors (23713854).

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

15920130 is a wasteful number, since it uses less digits than its factorization.

15920130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 15920130 is about 3990.0037593967. The cubic root of 15920130 is about 251.5642191285.

The spelling of 15920130 in words is "fifteen million, nine hundred twenty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 435 631 841 870 1262 1682 1893 2523 3155 3786 4205 5046 6310 8410 9465 12615 18299 18930 25230 36598 54897 91495 109794 182990 274485 530671 548970 1061342 1592013 2653355 3184026 5306710 7960065 15920130