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670468240 = 245133371913
BaseRepresentation
bin100111111101101…
…000100010010000
31201201121022112001
4213331220202100
52333114440430
6150310243344
722420612621
oct4775504220
91651538461
10670468240
11314509792
12168656554
13a8b9c590
146508ba48
153dcdc3ca
hex27f68890

670468240 has 80 divisors (see below), whose sum is σ = 1684610928. Its totient is φ = 246693888.

The previous prime is 670468229. The next prime is 670468241. The reversal of 670468240 is 42864076.

It can be written as a sum of positive squares in 8 ways, for example, as 20830096 + 649638144 = 4564^2 + 25488^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 670468240.

It is not an unprimeable number, because it can be changed into a prime (670468241) 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, 349524 + ... + 351436.

Almost surely, 2670468240 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 670468240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842305464).

670468240 is an abundant number, since it is smaller than the sum of its proper divisors (1014142688).

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

670468240 is a wasteful number, since it uses less digits than its factorization.

670468240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2276 (or 2270 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The square root of 670468240 is about 25893.4014760518. The cubic root of 670468240 is about 875.2378085595.

The spelling of 670468240 in words is "six hundred seventy million, four hundred sixty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 337 520 674 1040 1348 1685 1913 2696 3370 3826 4381 5392 6740 7652 8762 9565 13480 15304 17524 19130 21905 24869 26960 30608 35048 38260 43810 49738 70096 76520 87620 99476 124345 153040 175240 198952 248690 350480 397904 497380 644681 994760 1289362 1989520 2578724 3223405 5157448 6446810 8380853 10314896 12893620 16761706 25787240 33523412 41904265 51574480 67046824 83808530 134093648 167617060 335234120 670468240