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10947420 = 22335111997
BaseRepresentation
bin101001110000…
…101101011100
3202121012001000
4221300231130
510300304140
61030350300
7162023451
oct51605534
922535030
1010947420
1161a7a60
1237bb390
132363b83
14164d828
15e63a30
hexa70b5c

10947420 has 192 divisors, whose sum is σ = 39513600. Its totient is φ = 2488320.

The previous prime is 10947403. The next prime is 10947427. The reversal of 10947420 is 2474901.

It is a happy number.

10947420 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10947427) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 112812 + ... + 112908.

It is an arithmetic number, because the mean of its divisors is an integer number (205800).

Almost surely, 210947420 is an apocalyptic number.

10947420 is a gapful number since it is divisible by the number (10) 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 10947420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19756800).

10947420 is an abundant number, since it is smaller than the sum of its proper divisors (28566180).

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

10947420 is a wasteful number, since it uses less digits than its factorization.

10947420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 10947420 is about 3308.6885619532. The cubic root of 10947420 is about 222.0430887874.

The spelling of 10947420 in words is "ten million, nine hundred forty-seven thousand, four hundred twenty".