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730807120 = 24588110369
BaseRepresentation
bin101011100011110…
…011101101010000
31212221010211220101
4223203303231100
52444041311440
6200303422144
724052521001
oct5343635520
91787124811
10730807120
1134558122a
121848b4954
13b8537864
146d0b71a8
154425a69a
hex2b8f3b50

730807120 has 40 divisors (see below), whose sum is σ = 1701219240. Its totient is φ = 291962880.

The previous prime is 730807093. The next prime is 730807141. The reversal of 730807120 is 21708037.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12138256 + 718668864 = 3484^2 + 26808^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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, 65296 + ... + 75664.

It is an arithmetic number, because the mean of its divisors is an integer number (42530481).

Almost surely, 2730807120 is an apocalyptic number.

It is an amenable number.

730807120 is an abundant number, since it is smaller than the sum of its proper divisors (970412120).

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

730807120 is a wasteful number, since it uses less digits than its factorization.

730807120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11263 (or 11257 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 730807120 is about 27033.4444716170. Note that the first 4 decimals coincide. The cubic root of 730807120 is about 900.7430571309.

It can be divided in two parts, 73080 and 7120, that added together give a triangular number (80200 = T400).

The spelling of 730807120 in words is "seven hundred thirty million, eight hundred seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 881 1762 3524 4405 7048 8810 10369 14096 17620 20738 35240 41476 51845 70480 82952 103690 165904 207380 414760 829520 9135089 18270178 36540356 45675445 73080712 91350890 146161424 182701780 365403560 730807120