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203076390 = 235111753683
BaseRepresentation
bin11000001101010…
…11001100100110
3112011010100102210
430012223030212
5403441421030
632052344250
75014056306
oct1406531446
9464110383
10203076390
11a46a4330
1258015086
13330c365a
141cd83606
1512c65bb0
hexc1ab326

203076390 has 128 divisors (see below), whose sum is σ = 574428672. Its totient is φ = 45393920.

The previous prime is 203076383. The next prime is 203076409. The reversal of 203076390 is 93670302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 296989 + ... + 297671.

It is an arithmetic number, because the mean of its divisors is an integer number (4487724).

Almost surely, 2203076390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203076390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287214336).

203076390 is an abundant number, since it is smaller than the sum of its proper divisors (371352282).

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

203076390 is a wasteful number, since it uses less digits than its factorization.

203076390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774.

The product of its (nonzero) digits is 6804, while the sum is 30.

The square root of 203076390 is about 14250.4873600870. The cubic root of 203076390 is about 587.7867765464.

The spelling of 203076390 in words is "two hundred three million, seventy-six thousand, three hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 53 55 66 85 102 106 110 159 165 170 187 255 265 318 330 374 510 530 561 583 683 795 901 935 1122 1166 1366 1590 1749 1802 1870 2049 2703 2805 2915 3415 3498 4098 4505 5406 5610 5830 6830 7513 8745 9010 9911 10245 11611 13515 15026 17490 19822 20490 22539 23222 27030 29733 34833 36199 37565 45078 49555 58055 59466 69666 72398 75130 99110 108597 112695 116110 127721 148665 174165 180995 217194 225390 255442 297330 348330 361990 383163 398189 542985 615383 638605 766326 796378 1085970 1194567 1230766 1277210 1846149 1915815 1990945 2389134 3076915 3692298 3831630 3981890 5972835 6153830 6769213 9230745 11945670 13538426 18461490 20307639 33846065 40615278 67692130 101538195 203076390