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10367028 = 223472653
BaseRepresentation
bin100111100011…
…000000110100
3201111200220000
4213203000310
510123221103
61010111300
7154055400
oct47430064
921450800
1010367028
1159409a1
12357b530
1321bc949
14153c100
15d9baa3
hex9e3034

10367028 has 90 divisors (see below), whose sum is σ = 31574466. Its totient is φ = 2957472.

The previous prime is 10367023. The next prime is 10367039. The reversal of 10367028 is 82076301.

It can be written as a sum of positive squares in only one way, i.e., 7683984 + 2683044 = 2772^2 + 1638^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10366992 and 10367010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10367023) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 15550 + ... + 16202.

Almost surely, 210367028 is an apocalyptic number.

10367028 is a gapful number since it is divisible by the number (18) 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 10367028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15787233).

10367028 is an abundant number, since it is smaller than the sum of its proper divisors (21207438).

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

10367028 is a wasteful number, since it uses less digits than its factorization.

10367028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 10367028 is about 3219.7869494735. The cubic root of 10367028 is about 218.0476567247.

The spelling of 10367028 in words is "ten million, three hundred sixty-seven thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 653 756 882 1134 1306 1323 1764 1959 2268 2612 2646 3918 3969 4571 5292 5877 7836 7938 9142 11754 13713 15876 17631 18284 23508 27426 31997 35262 41139 52893 54852 63994 70524 82278 95991 105786 123417 127988 164556 191982 211572 246834 287973 370251 383964 493668 575946 740502 863919 1151892 1481004 1727838 2591757 3455676 5183514 10367028