Search a number
-
+
973816712 = 23112172592
BaseRepresentation
bin111010000010110…
…100001110001000
32111212102000101122
4322002310032020
53443244113322
6240344134412
733063206531
oct7202641610
92455360348
10973816712
1145a76aa00
12232167408
131269a050b
1493493688
155a75d442
hex3a0b4388

973816712 has 108 divisors (see below), whose sum is σ = 2168738565. Its totient is φ = 409544960.

The previous prime is 973816703. The next prime is 973816717. The reversal of 973816712 is 217618379.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 891261316 + 82555396 = 29854^2 + 9086^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=22066.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (973816717) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16505339 + ... + 16505397.

Almost surely, 2973816712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 973816712

973816712 is an abundant number, since it is smaller than the sum of its proper divisors (1194921853).

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

973816712 is a wasteful number, since it uses less digits than its factorization.

973816712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 89 counting only the distinct ones).

The product of its digits is 127008, while the sum is 44.

The square root of 973816712 is about 31206.0364673247. The cubic root of 973816712 is about 991.1949357262.

Multiplying 973816712 by its product of digits (127008), we get a square (123682512957696 = 111212642).

The spelling of 973816712 in words is "nine hundred seventy-three million, eight hundred sixteen thousand, seven hundred twelve".

Divisors: 1 2 4 8 11 17 22 34 44 59 68 88 118 121 136 187 236 242 289 374 472 484 578 649 748 968 1003 1156 1298 1496 2006 2057 2312 2596 3179 3481 4012 4114 5192 6358 6962 7139 8024 8228 11033 12716 13924 14278 16456 17051 22066 25432 27848 28556 34102 34969 38291 44132 57112 59177 68204 69938 76582 88264 118354 121363 136408 139876 153164 187561 236708 242726 279752 306328 375122 421201 473416 485452 650947 750244 842402 970904 1006009 1301894 1500488 1684804 2012018 2063171 2603788 3369608 4024036 4126342 5207576 7160417 8048072 8252684 11066099 14320834 16505368 22132198 28641668 44264396 57283336 88528792 121727089 243454178 486908356 973816712