Search a number
-
+
15812940 = 223511131997
BaseRepresentation
bin111100010100…
…100101001100
31002202101021110
4330110211030
513022003230
61322532020
7251256603
oct74244514
932671243
1015812940
118a20550
125367010
133378690
142158a3a
1515c54b0
hexf1494c

15812940 has 192 divisors, whose sum is σ = 55319040. Its totient is φ = 3317760.

The previous prime is 15812939. The next prime is 15812989. The reversal of 15812940 is 4921851.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 15812898 and 15812907.

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 63 ways as a sum of consecutive naturals, for example, 162972 + ... + 163068.

It is an arithmetic number, because the mean of its divisors is an integer number (288120).

Almost surely, 215812940 is an apocalyptic number.

15812940 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 15812940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27659520).

15812940 is an abundant number, since it is smaller than the sum of its proper divisors (39506100).

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

15812940 is a wasteful number, since it uses less digits than its factorization.

15812940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 15812940 is about 3976.5487548878. The cubic root of 15812940 is about 250.9983545127.

The spelling of 15812940 in words is "fifteen million, eight hundred twelve thousand, nine hundred forty".