Search a number
-
+
10573056 = 283213353
BaseRepresentation
bin101000010101…
…010100000000
3201220011111200
4220111110000
510201314211
61014341200
7155604144
oct50252400
921804450
1010573056
115a7176a
12365a800
132262660
141593224
15ddcb56
hexa15500

10573056 has 108 divisors (see below), whose sum is σ = 32922708. Its totient is φ = 3244032.

The previous prime is 10573051. The next prime is 10573061. The reversal of 10573056 is 65037501.

It is an interprime number because it is at equal distance from previous prime (10573051) and next prime (10573061).

It can be written as a sum of positive squares in 2 ways, for example, as 2822400 + 7750656 = 1680^2 + 2784^2 .

It is a super-2 number, since 2×105730562 = 223579026358272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10573051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29776 + ... + 30128.

Almost surely, 210573056 is an apocalyptic number.

10573056 is a gapful number since it is divisible by the number (16) 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 10573056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16461354).

10573056 is an abundant number, since it is smaller than the sum of its proper divisors (22349652).

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

10573056 is a wasteful number, since it uses less digits than its factorization.

10573056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 10573056 is about 3251.6235944525. The cubic root of 10573056 is about 219.4826410654.

The spelling of 10573056 in words is "ten million, five hundred seventy-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 353 384 416 468 576 624 706 768 832 936 1059 1152 1248 1412 1664 1872 2118 2304 2496 2824 3177 3328 3744 4236 4589 4992 5648 6354 7488 8472 9178 9984 11296 12708 13767 14976 16944 18356 22592 25416 27534 29952 33888 36712 41301 45184 50832 55068 67776 73424 82602 90368 101664 110136 135552 146848 165204 203328 220272 271104 293696 330408 406656 440544 587392 660816 813312 881088 1174784 1321632 1762176 2643264 3524352 5286528 10573056