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2514072 = 2331189107
BaseRepresentation
bin1001100101110010011000
311201201122210
421211302120
51120422242
6125515120
730240441
oct11456230
94651583
102514072
111467950
12a12aa0
136a0422
144962c8
15349d9c
hex265c98

2514072 has 64 divisors (see below), whose sum is σ = 6998400. Its totient is φ = 746240.

The previous prime is 2514059. The next prime is 2514073. The reversal of 2514072 is 2704152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2514073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23443 + ... + 23549.

It is an arithmetic number, because the mean of its divisors is an integer number (109350).

22514072 is an apocalyptic number.

2514072 is a gapful number since it is divisible by the number (22) 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 2514072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3499200).

2514072 is an abundant number, since it is smaller than the sum of its proper divisors (4484328).

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

2514072 is a wasteful number, since it uses less digits than its factorization.

2514072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 2514072 is about 1585.5825427899. The cubic root of 2514072 is about 135.9750530943.

The spelling of 2514072 in words is "two million, five hundred fourteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 89 107 132 178 214 264 267 321 356 428 534 642 712 856 979 1068 1177 1284 1958 2136 2354 2568 2937 3531 3916 4708 5874 7062 7832 9416 9523 11748 14124 19046 23496 28248 28569 38092 57138 76184 104753 114276 209506 228552 314259 419012 628518 838024 1257036 2514072