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10293075 = 3452131723
BaseRepresentation
bin100111010000…
…111101010011
3201100221110000
4213100331103
510113334300
61004341043
7153326652
oct47207523
921327400
1010293075
1158a0381
123544783
1321950a0
14151d199
15d84c00
hex9d0f53

10293075 has 120 divisors (see below), whose sum is σ = 22686048. Its totient is φ = 4561920.

The previous prime is 10293071. The next prime is 10293113. The reversal of 10293075 is 57039201.

It is not a de Polignac number, because 10293075 - 22 = 10293071 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (10293071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 447514 + ... + 447536.

Almost surely, 210293075 is an apocalyptic number.

10293075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10293075 is an abundant number, since it is smaller than the sum of its proper divisors (12392973).

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

10293075 is a wasteful number, since it uses less digits than its factorization.

10293075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 10293075 is about 3208.2822506756. The cubic root of 10293075 is about 217.5279393359.

The spelling of 10293075 in words is "ten million, two hundred ninety-three thousand, seventy-five".

Divisors: 1 3 5 9 13 15 17 23 25 27 39 45 51 65 69 75 81 85 115 117 135 153 195 207 221 225 255 299 325 345 351 391 405 425 459 575 585 621 663 675 765 897 975 1035 1053 1105 1173 1275 1377 1495 1725 1755 1863 1955 1989 2025 2295 2691 2925 3105 3315 3519 3825 4485 5083 5175 5265 5525 5865 5967 6885 7475 8073 8775 9315 9775 9945 10557 11475 13455 15249 15525 16575 17595 17901 22425 24219 25415 26325 29325 29835 31671 34425 40365 45747 46575 49725 52785 67275 76245 87975 89505 121095 127075 137241 149175 158355 201825 228735 263925 381225 411723 447525 605475 686205 791775 1143675 2058615 3431025 10293075