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3980704 = 257131367
BaseRepresentation
bin1111001011110110100000
321111020111111
433023312200
52004340304
6221153104
745556360
oct17136640
97436444
103980704
112279842
1213bb794
13a94b60
147589a0
15539704
hex3cbda0

3980704 has 48 divisors (see below), whose sum is σ = 9652608. Its totient is φ = 1573632.

The previous prime is 3980693. The next prime is 3980729. The reversal of 3980704 is 4070893.

3980704 = T15 + T16 + ... + T287.

It is a happy number.

It is a congruent number.

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, 2229 + ... + 3595.

It is an arithmetic number, because the mean of its divisors is an integer number (201096).

Almost surely, 23980704 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 3980704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4826304).

3980704 is an abundant number, since it is smaller than the sum of its proper divisors (5671904).

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

3980704 is a wasteful number, since it uses less digits than its factorization.

3980704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1397 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 3980704 is about 1995.1701681812. The cubic root of 3980704 is about 158.4844395555.

The spelling of 3980704 in words is "three million, nine hundred eighty thousand, seven hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1367 1456 2734 2912 5468 9569 10936 17771 19138 21872 35542 38276 43744 71084 76552 124397 142168 153104 248794 284336 306208 497588 568672 995176 1990352 3980704