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947072020 = 225127571653
BaseRepresentation
bin111000011100110…
…010110000010100
32110000002020120111
4320130302300110
53414422301040
6233551012404
732316656626
oct7034626024
92400066514
10947072020
11446663254
1222520a104
1312129815b
148dad0c16
1558228dea
hex38732c14

947072020 has 48 divisors (see below), whose sum is σ = 2011097088. Its totient is φ = 374613120.

The previous prime is 947071981. The next prime is 947072029. The reversal of 947072020 is 20270749.

It is a happy number.

947072020 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9470720202 = 1793890822133760800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (947072029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1450014 + ... + 1450666.

It is an arithmetic number, because the mean of its divisors is an integer number (41897856).

Almost surely, 2947072020 is an apocalyptic number.

It is an amenable number.

947072020 is an abundant number, since it is smaller than the sum of its proper divisors (1064025068).

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

947072020 is a wasteful number, since it uses less digits than its factorization.

947072020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 947072020 is about 30774.5352523803. The cubic root of 947072020 is about 982.0365879988.

The spelling of 947072020 in words is "nine hundred forty-seven million, seventy-two thousand, twenty".

Divisors: 1 2 4 5 10 20 127 254 508 571 635 653 1142 1270 1306 2284 2540 2612 2855 3265 5710 6530 11420 13060 72517 82931 145034 165862 290068 331724 362585 372863 414655 725170 745726 829310 1450340 1491452 1658620 1864315 3728630 7457260 47353601 94707202 189414404 236768005 473536010 947072020