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2980712 = 2371731101
BaseRepresentation
bin1011010111101101101000
312121102202202
423113231220
51230340322
6143515332
734223060
oct13275550
95542682
102980712
1117564a9
12bb8b48
13804947
145783a0
153dd292
hex2d7b68

2980712 has 64 divisors (see below), whose sum is σ = 7050240. Its totient is φ = 1152000.

The previous prime is 2980711. The next prime is 2980721. The reversal of 2980712 is 2170892.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2980711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29462 + ... + 29562.

It is an arithmetic number, because the mean of its divisors is an integer number (110160).

22980712 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 2980712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3525120).

2980712 is an abundant number, since it is smaller than the sum of its proper divisors (4069528).

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

2980712 is a wasteful number, since it uses less digits than its factorization.

2980712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 2980712 is about 1726.4738631094. The cubic root of 2980712 is about 143.9152021321.

The spelling of 2980712 in words is "two million, nine hundred eighty thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 14 17 28 31 34 56 62 68 101 119 124 136 202 217 238 248 404 434 476 527 707 808 868 952 1054 1414 1717 1736 2108 2828 3131 3434 3689 4216 5656 6262 6868 7378 12019 12524 13736 14756 21917 24038 25048 29512 43834 48076 53227 87668 96152 106454 175336 212908 372589 425816 745178 1490356 2980712