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920424401 = 1392976213
BaseRepresentation
bin110110110111001…
…000111111010001
32101010221101220122
4312313020333101
53341112040101
6231155520025
731544323031
oct6667107721
92333841818
10920424401
11432612526
122182b9015
131188c8030
148a3558c1
1555c1351b
hex36dc8fd1

920424401 has 8 divisors (see below), whose sum is σ = 992306280. Its totient is φ = 848696832.

The previous prime is 920424397. The next prime is 920424403. The reversal of 920424401 is 104424029.

It can be written as a sum of positive squares in 4 ways, for example, as 2637376 + 917787025 = 1624^2 + 30295^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 920424401 - 22 = 920424397 is a prime.

It is a super-3 number, since 3×9204244013 (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (920424403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26030 + ... + 50183.

It is an arithmetic number, because the mean of its divisors is an integer number (124038285).

Almost surely, 2920424401 is an apocalyptic number.

It is an amenable number.

920424401 is a deficient number, since it is larger than the sum of its proper divisors (71881879).

920424401 is a wasteful number, since it uses less digits than its factorization.

920424401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77155.

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 920424401 is about 30338.4970128713. The cubic root of 920424401 is about 972.7383567319.

The spelling of 920424401 in words is "nine hundred twenty million, four hundred twenty-four thousand, four hundred one".

Divisors: 1 13 929 12077 76213 990769 70801877 920424401