Search a number
-
+
16136580 = 22351312053
BaseRepresentation
bin111101100011…
…100110000100
31010100211020010
4331203212010
513112332310
61333510220
7254105265
oct75434604
933324203
1016136580
119121719
1254a2370
13345ca95
14220096c
15163b320
hexf63984

16136580 has 48 divisors (see below), whose sum is σ = 45549504. Its totient is φ = 4268160.

The previous prime is 16136579. The next prime is 16136591. The reversal of 16136580 is 8563161.

16136580 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

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, 6834 + ... + 8886.

It is an arithmetic number, because the mean of its divisors is an integer number (948948).

Almost surely, 216136580 is an apocalyptic number.

16136580 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 16136580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22774752).

16136580 is an abundant number, since it is smaller than the sum of its proper divisors (29412924).

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

16136580 is a wasteful number, since it uses less digits than its factorization.

16136580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2196 (or 2194 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 16136580 is about 4017.0362208972. The cubic root of 16136580 is about 252.6991795063.

The spelling of 16136580 in words is "sixteen million, one hundred thirty-six thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 131 262 393 524 655 786 1310 1572 1965 2053 2620 3930 4106 6159 7860 8212 10265 12318 20530 24636 30795 41060 61590 123180 268943 537886 806829 1075772 1344715 1613658 2689430 3227316 4034145 5378860 8068290 16136580