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2978070 = 235531873
BaseRepresentation
bin1011010111000100010110
312121022010220
423113010112
51230244240
6143455210
734212264
oct13270426
95538126
102978070
111754517
12bb7506
13803694
14577434
153dc5d0
hex2d7116

2978070 has 32 divisors (see below), whose sum is σ = 7286112. Its totient is φ = 778752.

The previous prime is 2978047. The next prime is 2978071. The reversal of 2978070 is 708792.

2978070 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×29780703 = 79236623332250829000, which contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2978071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 654 + ... + 2526.

It is an arithmetic number, because the mean of its divisors is an integer number (227691).

22978070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2978070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3643056).

2978070 is an abundant number, since it is smaller than the sum of its proper divisors (4308042).

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

2978070 is a wasteful number, since it uses less digits than its factorization.

2978070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1936.

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 2978070 is about 1725.7085501324. The cubic root of 2978070 is about 143.8726690776.

The spelling of 2978070 in words is "two million, nine hundred seventy-eight thousand, seventy".

Divisors: 1 2 3 5 6 10 15 30 53 106 159 265 318 530 795 1590 1873 3746 5619 9365 11238 18730 28095 56190 99269 198538 297807 496345 595614 992690 1489035 2978070