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2115144 = 2332291013
BaseRepresentation
bin1000000100011001001000
310222110102200
420010121020
51020141034
6113200200
723656413
oct10043110
93873380
102115144
111215159
12860060
13590985
143d0b7a
152bba99
hex204648

2115144 has 48 divisors (see below), whose sum is σ = 5931900. Its totient is φ = 680064.

The previous prime is 2115133. The next prime is 2115181. The reversal of 2115144 is 4415112.

It can be written as a sum of positive squares in 2 ways, for example, as 1855044 + 260100 = 1362^2 + 510^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1582 + ... + 2594.

22115144 is an apocalyptic number.

2115144 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 2115144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2965950).

2115144 is an abundant number, since it is smaller than the sum of its proper divisors (3816756).

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

2115144 is a wasteful number, since it uses less digits than its factorization.

2115144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1047 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 2115144 is about 1454.3534646021. The cubic root of 2115144 is about 128.3650063313.

Subtracting 2115144 from its reverse (4415112), we obtain a cube (2299968 = 1323).

The spelling of 2115144 in words is "two million, one hundred fifteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1013 1044 2026 2088 3039 4052 6078 8104 9117 12156 18234 24312 29377 36468 58754 72936 88131 117508 176262 235016 264393 352524 528786 705048 1057572 2115144