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246997920 = 253513231721
BaseRepresentation
bin11101011100011…
…10001110100000
3122012202210110010
432232032032200
51001212413140
640302004520
76056306361
oct1656161640
9565683403
10246997920
11117473214
126a876740
133c231120
1424b37b68
1516a3e880
hexeb8e3a0

246997920 has 192 divisors, whose sum is σ = 874831104. Its totient is φ = 58122240.

The previous prime is 246997889. The next prime is 246997921. The reversal of 246997920 is 29799642.

246997920 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2469979202 = 122015944968652800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 246997920.

It is not an unprimeable number, because it can be changed into a prime (246997921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142660 + ... + 144380.

It is an arithmetic number, because the mean of its divisors is an integer number (4556412).

Almost surely, 2246997920 is an apocalyptic number.

246997920 is a gapful number since it is divisible by the number (20) 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 246997920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437415552).

246997920 is an abundant number, since it is smaller than the sum of its proper divisors (627833184).

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

246997920 is a wasteful number, since it uses less digits than its factorization.

246997920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1775 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 246997920 is about 15716.1674717470. The cubic root of 246997920 is about 627.4287745277.

The spelling of 246997920 in words is "two hundred forty-six million, nine hundred ninety-seven thousand, nine hundred twenty".