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2930920 = 235471559
BaseRepresentation
bin1011001011100011101000
312111220110121
423023203220
51222242140
6142453024
733624646
oct13134350
95456417
102930920
111722053
12b94174
137b8095
14564196
153cd64a
hex2cb8e8

2930920 has 32 divisors (see below), whose sum is σ = 6739200. Its totient is φ = 1146688.

The previous prime is 2930911. The next prime is 2930947. The reversal of 2930920 is 290392.

2930920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 1101 + ... + 2659.

It is an arithmetic number, because the mean of its divisors is an integer number (210600).

22930920 is an apocalyptic number.

2930920 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 2930920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3369600).

2930920 is an abundant number, since it is smaller than the sum of its proper divisors (3808280).

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

2930920 is a wasteful number, since it uses less digits than its factorization.

2930920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 2930920 is about 1711.9929906399. The cubic root of 2930920 is about 143.1093430748.

The spelling of 2930920 in words is "two million, nine hundred thirty thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 470 940 1559 1880 3118 6236 7795 12472 15590 31180 62360 73273 146546 293092 366365 586184 732730 1465460 2930920