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2300928 = 21037107
BaseRepresentation
bin1000110001110000000000
311022220021120
420301300000
51042112203
6121152240
725362150
oct10616000
94286246
102300928
1113317a3
1292b680
136273c6
1443c760
15306b53
hex231c00

2300928 has 88 divisors (see below), whose sum is σ = 7074432. Its totient is φ = 651264.

The previous prime is 2300927. The next prime is 2300951. The reversal of 2300928 is 8290032.

It is a super-2 number, since 2×23009282 = 10588539322368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2300898 and 2300907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21451 + ... + 21557.

22300928 is an apocalyptic number.

2300928 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 2300928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3537216).

2300928 is an abundant number, since it is smaller than the sum of its proper divisors (4773504).

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

2300928 is a wasteful number, since it uses less digits than its factorization.

2300928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 2300928 is about 1516.8810104949. The cubic root of 2300928 is about 132.0183629183.

The spelling of 2300928 in words is "two million, three hundred thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 107 112 128 168 192 214 224 256 321 336 384 428 448 512 642 672 749 768 856 896 1024 1284 1344 1498 1536 1712 1792 2247 2568 2688 2996 3072 3424 3584 4494 5136 5376 5992 6848 7168 8988 10272 10752 11984 13696 17976 20544 21504 23968 27392 35952 41088 47936 54784 71904 82176 95872 109568 143808 164352 191744 287616 328704 383488 575232 766976 1150464 2300928