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2990016 = 263229179
BaseRepresentation
bin1011011001111111000000
312121220112100
423121333000
51231140031
6144030400
734262151
oct13317700
95556470
102990016
111762497
121002400
13808c53
1457b928
153e0de6
hex2d9fc0

2990016 has 84 divisors (see below), whose sum is σ = 8915400. Its totient is φ = 956928.

The previous prime is 2989997. The next prime is 2990017. The reversal of 2990016 is 6100992.

2990016 = 283 + 293 + ... + 593.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2990017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16615 + ... + 16793.

22990016 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 2990016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4457700).

2990016 is an abundant number, since it is smaller than the sum of its proper divisors (5925384).

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

2990016 is a wasteful number, since it uses less digits than its factorization.

2990016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 2990016 is about 1729.1662730923. The cubic root of 2990016 is about 144.0647856633.

The spelling of 2990016 in words is "two million, nine hundred ninety thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 144 174 179 192 232 261 288 348 358 464 522 537 576 696 716 928 1044 1074 1392 1432 1611 1856 2088 2148 2784 2864 3222 4176 4296 5191 5568 5728 6444 8352 8592 10382 11456 12888 15573 16704 17184 20764 25776 31146 34368 41528 46719 51552 62292 83056 93438 103104 124584 166112 186876 249168 332224 373752 498336 747504 996672 1495008 2990016