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961212084 = 2237181191331
BaseRepresentation
bin111001010010101…
…110111010110100
32110222200122002120
4321102232322310
53432032241314
6235214035540
732551111410
oct7122567264
92428618076
10961212084
11453640958
12229aa8bb0
131241a9261
1491931d40
15595bd8a9
hex394aeeb4

961212084 has 96 divisors (see below), whose sum is σ = 2598715392. Its totient is φ = 270864000.

The previous prime is 961212061. The next prime is 961212101. The reversal of 961212084 is 480212169.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2903799 + ... + 2904129.

It is an arithmetic number, because the mean of its divisors is an integer number (27069952).

Almost surely, 2961212084 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 961212084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299357696).

961212084 is an abundant number, since it is smaller than the sum of its proper divisors (1637503308).

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

961212084 is a wasteful number, since it uses less digits than its factorization.

961212084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 961212084 is about 31003.4205209683. The cubic root of 961212084 is about 986.8998295949.

The spelling of 961212084 in words is "nine hundred sixty-one million, two hundred twelve thousand, eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 181 191 331 362 382 543 573 662 724 764 993 1086 1146 1267 1324 1337 1986 2172 2292 2317 2534 2674 3801 3972 4011 4634 5068 5348 6951 7602 8022 9268 13902 15204 16044 27804 34571 59911 63221 69142 103713 119822 126442 138284 179733 189663 207426 239644 241997 252884 359466 379326 414852 419377 442547 483994 718932 725991 758652 838754 885094 967988 1258131 1327641 1451982 1677508 1770188 2516262 2655282 2903964 5032524 5310564 11443001 22886002 34329003 45772004 68658006 80101007 137316012 160202014 240303021 320404028 480606042 961212084