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669030040 = 235719912007
BaseRepresentation
bin100111111000001…
…001011010011000
31201121220020200101
4213320021122120
52332232430130
6150215345144
722402442620
oct4770113230
91647806611
10669030040
11313717198
121680821b4
13a87b7a83
1464bd5880
153db061ca
hex27e09698

669030040 has 64 divisors (see below), whose sum is σ = 1729152000. Its totient is φ = 228210048.

The previous prime is 669030017. The next prime is 669030059. The reversal of 669030040 is 40030966.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 669029990 and 669030008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49717 + ... + 61723.

It is an arithmetic number, because the mean of its divisors is an integer number (27018000).

Almost surely, 2669030040 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 669030040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864576000).

669030040 is an abundant number, since it is smaller than the sum of its proper divisors (1060121960).

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

669030040 is a wasteful number, since it uses less digits than its factorization.

669030040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12224 (or 12220 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 669030040 is about 25865.6150129859. The cubic root of 669030040 is about 874.6115456673.

The spelling of 669030040 in words is "six hundred sixty-nine million, thirty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 199 280 398 796 995 1393 1592 1990 2786 3980 5572 6965 7960 11144 12007 13930 24014 27860 48028 55720 60035 84049 96056 120070 168098 240140 336196 420245 480280 672392 840490 1680980 2389393 3361960 4778786 9557572 11946965 16725751 19115144 23893930 33451502 47787860 66903004 83628755 95575720 133806008 167257510 334515020 669030040