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2530528 = 257111379
BaseRepresentation
bin1001101001110011100000
311202120020021
421221303200
51121434103
6130123224
730336430
oct11516340
94676207
102530528
111479250
12a20514
136a7a70
1449c2c0
1534ebbd
hex269ce0

2530528 has 96 divisors (see below), whose sum is σ = 6773760. Its totient is φ = 898560.

The previous prime is 2530519. The next prime is 2530543. The reversal of 2530528 is 8250352.

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, 31993 + ... + 32071.

It is an arithmetic number, because the mean of its divisors is an integer number (70560).

22530528 is an apocalyptic number.

2530528 is a gapful number since it is divisible by the number (28) 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 2530528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3386880).

2530528 is an abundant number, since it is smaller than the sum of its proper divisors (4243232).

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

2530528 is a wasteful number, since it uses less digits than its factorization.

2530528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 2530528 is about 1590.7633387780. The cubic root of 2530528 is about 136.2710855900.

The spelling of 2530528 in words is "two million, five hundred thirty thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 77 79 88 91 104 112 143 154 158 176 182 208 224 286 308 316 352 364 416 553 572 616 632 728 869 1001 1027 1106 1144 1232 1264 1456 1738 2002 2054 2212 2288 2464 2528 2912 3476 4004 4108 4424 4576 6083 6952 7189 8008 8216 8848 11297 12166 13904 14378 16016 16432 17696 22594 24332 27808 28756 32032 32864 45188 48664 57512 79079 90376 97328 115024 158158 180752 194656 230048 316316 361504 632632 1265264 2530528