Search a number
-
+
15982890 = 23571121737
BaseRepresentation
bin111100111110…
…000100101010
31010002000101220
4330332010222
513042423030
61330322510
7252565230
oct74760452
933060356
1015982890
119027200
125429436
133407b41
1421a0950
15160aa10
hexf3e12a

15982890 has 192 divisors, whose sum is σ = 52399872. Its totient is φ = 3041280.

The previous prime is 15982877. The next prime is 15982891. The reversal of 15982890 is 9828951.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (15982891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 431952 + ... + 431988.

It is an arithmetic number, because the mean of its divisors is an integer number (272916).

Almost surely, 215982890 is an apocalyptic number.

15982890 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 15982890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26199936).

15982890 is an abundant number, since it is smaller than the sum of its proper divisors (36416982).

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

15982890 is a wasteful number, since it uses less digits than its factorization.

15982890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 42.

The square root of 15982890 is about 3997.8606779126. The cubic root of 15982890 is about 251.8943560707.

The spelling of 15982890 in words is "fifteen million, nine hundred eighty-two thousand, eight hundred ninety".