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970380 = 22345599
BaseRepresentation
bin11101100111010001100
31211022010000
43230322030
5222023010
632444300
711151045
oct3547214
91738100
10970380
11603074
123a9690
1327c8b8
141b38cc
151427c0
hexece8c

970380 has 60 divisors (see below), whose sum is σ = 3049200. Its totient is φ = 258336.

The previous prime is 970351. The next prime is 970391. The reversal of 970380 is 83079.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1321 + ... + 1919.

It is an arithmetic number, because the mean of its divisors is an integer number (50820).

2970380 is an apocalyptic number.

970380 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 970380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524600).

970380 is an abundant number, since it is smaller than the sum of its proper divisors (2078820).

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

970380 is a wasteful number, since it uses less digits than its factorization.

970380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 970380 is about 985.0786770609. The cubic root of 970380 is about 99.0027547443.

The spelling of 970380 in words is "nine hundred seventy thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 599 810 1198 1620 1797 2396 2995 3594 5391 5990 7188 8985 10782 11980 16173 17970 21564 26955 32346 35940 48519 53910 64692 80865 97038 107820 161730 194076 242595 323460 485190 970380