Search a number
-
+
2150616 = 2331361113
BaseRepresentation
bin1000001101000011011000
311001021002110
420031003120
51022304431
6114032320
724165006
oct10150330
94037073
102150616
111239876
128786a0
135a3b70
143dda76
152c7346
hex20d0d8

2150616 has 64 divisors (see below), whose sum is σ = 5937120. Its totient is φ = 645120.

The previous prime is 2150597. The next prime is 2150639. The reversal of 2150616 is 6160512.

It is a happy number.

2150616 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2150592 and 2150601.

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, 18976 + ... + 19088.

22150616 is an apocalyptic number.

2150616 is a gapful number since it is divisible by the number (26) 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 2150616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2968560).

2150616 is an abundant number, since it is smaller than the sum of its proper divisors (3786504).

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

2150616 is a wasteful number, since it uses less digits than its factorization.

2150616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 2150616 is about 1466.4978690745. The cubic root of 2150616 is about 129.0786132211.

The spelling of 2150616 in words is "two million, one hundred fifty thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 61 78 104 113 122 156 183 226 244 312 339 366 452 488 678 732 793 904 1356 1464 1469 1586 2379 2712 2938 3172 4407 4758 5876 6344 6893 8814 9516 11752 13786 17628 19032 20679 27572 35256 41358 55144 82716 89609 165432 179218 268827 358436 537654 716872 1075308 2150616