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3991400 = 235272851
BaseRepresentation
bin1111001110011101101000
321111210011122
433032131220
52010211100
6221314412
745632510
oct17163550
97453148
103991400
112286886
121405a08
13a9999a
1475c840
1553c985
hex3ce768

3991400 has 48 divisors (see below), whose sum is σ = 10609440. Its totient is φ = 1368000.

The previous prime is 3991399. The next prime is 3991441. The reversal of 3991400 is 41993.

It is a happy number.

3991400 is nontrivially palindromic in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 3991400.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 26 + ... + 2825.

It is an arithmetic number, because the mean of its divisors is an integer number (221030).

Almost surely, 23991400 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 3991400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5304720).

3991400 is an abundant number, since it is smaller than the sum of its proper divisors (6618040).

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

3991400 is a wasteful number, since it uses less digits than its factorization.

3991400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2874 (or 2865 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 3991400 is about 1997.8488431310. The cubic root of 3991400 is about 158.6262598266.

The spelling of 3991400 in words is "three million, nine hundred ninety-one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 2851 5702 11404 14255 19957 22808 28510 39914 57020 71275 79828 99785 114040 142550 159656 199570 285100 399140 498925 570200 798280 997850 1995700 3991400