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2861920 = 25531577
BaseRepresentation
bin1010111010101101100000
312101101211001
422322231200
51213040140
6141201344
733216535
oct12725540
95341731
102861920
111685226
12b60254
13792859
14546d8c
153b7e9a
hex2bab60

2861920 has 48 divisors (see below), whose sum is σ = 6991488. Its totient is φ = 1105920.

The previous prime is 2861917. The next prime is 2861921. The reversal of 2861920 is 291682.

It is a happy number.

2861920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2861921) by changing a digit.

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, 4672 + ... + 5248.

It is an arithmetic number, because the mean of its divisors is an integer number (145656).

22861920 is an apocalyptic number.

2861920 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 2861920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3495744).

2861920 is an abundant number, since it is smaller than the sum of its proper divisors (4129568).

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

2861920 is a wasteful number, since it uses less digits than its factorization.

2861920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 2861920 is about 1691.7210171893. The cubic root of 2861920 is about 141.9773818369.

The spelling of 2861920 in words is "two million, eight hundred sixty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 577 620 992 1154 1240 2308 2480 2885 4616 4960 5770 9232 11540 17887 18464 23080 35774 46160 71548 89435 92320 143096 178870 286192 357740 572384 715480 1430960 2861920