Search a number
-
+
2087616 = 26383131
BaseRepresentation
bin111111101101011000000
310221001200010
413331223000
51013300431
6112424520
723513226
oct7755300
93831603
102087616
1111a6503
12848140
1358129b
143c4b16
152b3846
hex1fdac0

2087616 has 56 divisors (see below), whose sum is σ = 5632704. Its totient is φ = 682240.

The previous prime is 2087593. The next prime is 2087627. The reversal of 2087616 is 6167802.

It is a happy number.

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15871 + ... + 16001.

It is an arithmetic number, because the mean of its divisors is an integer number (100584).

22087616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2087616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2816352).

2087616 is an abundant number, since it is smaller than the sum of its proper divisors (3545088).

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

2087616 is a wasteful number, since it uses less digits than its factorization.

2087616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 2087616 is about 1444.8584705777. The cubic root of 2087616 is about 127.8056947754.

The spelling of 2087616 in words is "two million, eighty-seven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 131 166 192 249 262 332 393 498 524 664 786 996 1048 1328 1572 1992 2096 2656 3144 3984 4192 5312 6288 7968 8384 10873 12576 15936 21746 25152 32619 43492 65238 86984 130476 173968 260952 347936 521904 695872 1043808 2087616