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2055144 = 233713941
BaseRepresentation
bin111110101101111101000
310212102010110
413311233220
51011231034
6112014320
723316450
oct7655750
93772113
102055144
111184073
128313a0
1356c580
143b6d60
152a8de9
hex1f5be8

2055144 has 64 divisors (see below), whose sum is σ = 6330240. Its totient is φ = 541440.

The previous prime is 2055133. The next prime is 2055187. The reversal of 2055144 is 4415502.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 2055144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1714 + ... + 2654.

It is an arithmetic number, because the mean of its divisors is an integer number (98910).

22055144 is an apocalyptic number.

2055144 is a gapful number since it is divisible by the number (24) 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 2055144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3165120).

2055144 is an abundant number, since it is smaller than the sum of its proper divisors (4275096).

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

2055144 is a wasteful number, since it uses less digits than its factorization.

2055144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 2055144 is about 1433.5773435710. The cubic root of 2055144 is about 127.1395741633.

The spelling of 2055144 in words is "two million, fifty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 941 1092 1882 2184 2823 3764 5646 6587 7528 11292 12233 13174 19761 22584 24466 26348 36699 39522 48932 52696 73398 79044 85631 97864 146796 158088 171262 256893 293592 342524 513786 685048 1027572 2055144