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2051616 = 25374371
BaseRepresentation
bin111110100111000100000
310212020021210
413310320200
51011122431
6111550120
723303250
oct7647040
93766253
102051616
111181456
1282b340
1356aa98
143b5960
152a7d46
hex1f4e20

2051616 has 96 divisors (see below), whose sum is σ = 6386688. Its totient is φ = 564480.

The previous prime is 2051593. The next prime is 2051617. The reversal of 2051616 is 6161502.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×20516162 = 8418256422912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2051592 and 2051601.

It is not an unprimeable number, because it can be changed into a prime (2051617) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28861 + ... + 28931.

It is an arithmetic number, because the mean of its divisors is an integer number (66528).

22051616 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 2051616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3193344).

2051616 is an abundant number, since it is smaller than the sum of its proper divisors (4335072).

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

2051616 is a wasteful number, since it uses less digits than its factorization.

2051616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 126 counting only the distinct ones).

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

The square root of 2051616 is about 1432.3463268358. The cubic root of 2051616 is about 127.0667803457.

The spelling of 2051616 in words is "two million, fifty-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 56 71 84 86 96 112 129 142 168 172 213 224 258 284 301 336 344 426 497 516 568 602 672 688 852 903 994 1032 1136 1204 1376 1491 1704 1806 1988 2064 2272 2408 2982 3053 3408 3612 3976 4128 4816 5964 6106 6816 7224 7952 9159 9632 11928 12212 14448 15904 18318 21371 23856 24424 28896 36636 42742 47712 48848 64113 73272 85484 97696 128226 146544 170968 256452 293088 341936 512904 683872 1025808 2051616