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10507068 = 223211132157
BaseRepresentation
bin101000000101…
…001100111100
3201202210222200
4220011030330
510142211233
61013111500
7155210565
oct50051474
921683880
1010507068
115a27130
123628590
13223b600
14157716c
15dc8313
hexa0533c

10507068 has 108 divisors (see below), whose sum is σ = 31574088. Its totient is φ = 2920320.

The previous prime is 10507061. The next prime is 10507069. The reversal of 10507068 is 86070501.

It is a super-2 number, since 2×105070682 = 220796955913248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10507061) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 66846 + ... + 67002.

Almost surely, 210507068 is an apocalyptic number.

10507068 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 10507068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15787044).

10507068 is an abundant number, since it is smaller than the sum of its proper divisors (21067020).

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

10507068 is a wasteful number, since it uses less digits than its factorization.

10507068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 10507068 is about 3241.4607818081. The cubic root of 10507068 is about 219.0250800076.

Adding to 10507068 its reverse (86070501), we get a palindrome (96577569).

It can be divided in two parts, 1050 and 7068, that added together give a palindrome (8118).

The spelling of 10507068 in words is "ten million, five hundred seven thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 157 169 198 234 286 314 338 396 429 468 471 507 572 628 676 858 942 1014 1287 1413 1521 1716 1727 1859 1884 2028 2041 2574 2826 3042 3454 3718 4082 5148 5181 5577 5652 6084 6123 6908 7436 8164 10362 11154 12246 15543 16731 18369 20724 22308 22451 24492 26533 31086 33462 36738 44902 53066 62172 66924 67353 73476 79599 89804 106132 134706 159198 202059 238797 269412 291863 318396 404118 477594 583726 808236 875589 955188 1167452 1751178 2626767 3502356 5253534 10507068