Search a number
-
+
966714728 = 23724160149
BaseRepresentation
bin111001100111101…
…110010101101000
32111101001012022012
4321213232111220
53434434332403
6235532015052
732645640200
oct7147562550
92441035265
10966714728
1145675a0a1
1222b901488
13125384a65
1492565400
1559d08ed8
hex399ee568

966714728 has 48 divisors (see below), whose sum is σ = 2159986500. Its totient is φ = 404194560.

The previous prime is 966714713. The next prime is 966714761. The reversal of 966714728 is 827417669.

It can be written as a sum of positive squares in 2 ways, for example, as 826102564 + 140612164 = 28742^2 + 11858^2 .

It is a super-2 number, since 2×9667147282 = 1869074730664227968, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14003 + ... + 46146.

Almost surely, 2966714728 is an apocalyptic number.

966714728 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

966714728 is an abundant number, since it is smaller than the sum of its proper divisors (1193271772).

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

966714728 is a wasteful number, since it uses less digits than its factorization.

966714728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60210 (or 60199 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 50.

The square root of 966714728 is about 31092.0364080579. The cubic root of 966714728 is about 988.7794801558.

The spelling of 966714728 in words is "nine hundred sixty-six million, seven hundred fourteen thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 41 49 56 82 98 164 196 287 328 392 574 1148 2009 2296 4018 8036 16072 60149 120298 240596 421043 481192 842086 1684172 2466109 2947301 3368344 4932218 5894602 9864436 11789204 17262763 19728872 23578408 34525526 69051052 120839341 138102104 241678682 483357364 966714728