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10712020 = 22511232973
BaseRepresentation
bin101000110111…
…001111010100
3202011020010111
4220313033110
510220241040
61021332404
7160023244
oct50671724
922136114
1010712020
116057110
123707104
1322b0997
1415cbb24
15e18dea
hexa373d4

10712020 has 96 divisors (see below), whose sum is σ = 26853120. Its totient is φ = 3548160.

The previous prime is 10712011. The next prime is 10712021. The reversal of 10712020 is 2021701.

It is a super-2 number, since 2×107120202 = 229494744960800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10712021) 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 31 ways as a sum of consecutive naturals, for example, 146704 + ... + 146776.

It is an arithmetic number, because the mean of its divisors is an integer number (279720).

Almost surely, 210712020 is an apocalyptic number.

10712020 is a gapful number since it is divisible by the number (10) 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 10712020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13426560).

10712020 is an abundant number, since it is smaller than the sum of its proper divisors (16141100).

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

10712020 is a wasteful number, since it uses less digits than its factorization.

10712020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 10712020 is about 3272.9222416672. The cubic root of 10712020 is about 220.4400283906.

Adding to 10712020 its reverse (2021701), we get a palindrome (12733721).

The spelling of 10712020 in words is "ten million, seven hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 23 29 44 46 55 58 73 92 110 115 116 145 146 220 230 253 290 292 319 365 460 506 580 638 667 730 803 1012 1265 1276 1334 1460 1595 1606 1679 2117 2530 2668 3190 3212 3335 3358 4015 4234 5060 6380 6670 6716 7337 8030 8395 8468 10585 13340 14674 16060 16790 18469 21170 23287 29348 33580 36685 36938 42340 46574 48691 73370 73876 92345 93148 97382 116435 146740 184690 194764 232870 243455 369380 465740 486910 535601 973820 1071202 2142404 2678005 5356010 10712020