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7004004 = 2237199419
BaseRepresentation
bin11010101101111101100100
3111011211200120
4122231331210
53243112004
6410041540
7113350560
oct32557544
914154616
107004004
113a54237
1224192b0
1315b2ca7
14d046a0
159353d9
hex6adf64

7004004 has 48 divisors (see below), whose sum is σ = 18816000. Its totient is φ = 1986336.

The previous prime is 7003999. The next prime is 7004009. The reversal of 7004004 is 4004007.

7004004 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (7003999) and next prime (7004009).

It is not an unprimeable number, because it can be changed into a prime (7004009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16507 + ... + 16925.

It is an arithmetic number, because the mean of its divisors is an integer number (392000).

Almost surely, 27004004 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 7004004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9408000).

7004004 is an abundant number, since it is smaller than the sum of its proper divisors (11811996).

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

7004004 is a wasteful number, since it uses less digits than its factorization.

7004004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 7004004 is about 2646.5078877646. The cubic root of 7004004 is about 191.3295845464.

The spelling of 7004004 in words is "seven million, four thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 199 398 419 597 796 838 1194 1257 1393 1676 2388 2514 2786 2933 4179 5028 5572 5866 8358 8799 11732 16716 17598 35196 83381 166762 250143 333524 500286 583667 1000572 1167334 1751001 2334668 3502002 7004004