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10716312 = 2332989173
BaseRepresentation
bin101000111000…
…010010011000
3202011110000110
4220320102120
510220410222
61021404320
7160041615
oct50702230
922143013
1010716312
11605a362
1237096a0
1322b2919
1415cd50c
15e1a30c
hexa38498

10716312 has 64 divisors (see below), whose sum is σ = 28188000. Its totient is φ = 3390464.

The previous prime is 10716311. The next prime is 10716313. The reversal of 10716312 is 21361701.

It is an interprime number because it is at equal distance from previous prime (10716311) and next prime (10716313).

It is a super-2 number, since 2×107163122 = 229678685762688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10716311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61858 + ... + 62030.

Almost surely, 210716312 is an apocalyptic number.

10716312 is a gapful number since it is divisible by the number (12) 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 10716312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14094000).

10716312 is an abundant number, since it is smaller than the sum of its proper divisors (17471688).

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

10716312 is a wasteful number, since it uses less digits than its factorization.

10716312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 10716312 is about 3273.5778591627. The cubic root of 10716312 is about 220.4694657973.

It can be divided in two parts, 107163 and 12, that multiplied together give a square (1285956 = 11342).

The spelling of 10716312 in words is "ten million, seven hundred sixteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 89 116 173 174 178 232 267 346 348 356 519 534 692 696 712 1038 1068 1384 2076 2136 2581 4152 5017 5162 7743 10034 10324 15051 15397 15486 20068 20648 30102 30794 30972 40136 46191 60204 61588 61944 92382 120408 123176 184764 369528 446513 893026 1339539 1786052 2679078 3572104 5358156 10716312