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720984420 = 22325132137173
BaseRepresentation
bin101010111110010…
…101100101100100
31212020122210200200
4222332111211210
52434033000140
6155313110500
723603160252
oct5276254544
91766583620
10720984420
1133aa822a2
12181558430
13b64a8900
146ba7b5d2
154346a030
hex2af95964

720984420 has 216 divisors, whose sum is σ = 2399231016. Its totient is φ = 175159296.

The previous prime is 720984419. The next prime is 720984421. The reversal of 720984420 is 24489027.

720984420 is a `hidden beast` number, since 7 + 209 + 8 + 442 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (720984419) and next prime (720984421).

It can be written as a sum of positive squares in 12 ways, for example, as 210134016 + 510850404 = 14496^2 + 22602^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (720984421) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4167454 + ... + 4167626.

It is an arithmetic number, because the mean of its divisors is an integer number (11107551).

Almost surely, 2720984420 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 720984420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199615508).

720984420 is an abundant number, since it is smaller than the sum of its proper divisors (1678246596).

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

720984420 is a wasteful number, since it uses less digits than its factorization.

720984420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 720984420 is about 26851.1530478674. The cubic root of 720984420 is about 896.6892433306.

The spelling of 720984420 in words is "seven hundred twenty million, nine hundred eighty-four thousand, four hundred twenty".