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9961392 = 2437231289
BaseRepresentation
bin100101111111…
…111110110000
3200202002110110
4211333332300
510022231032
6553301320
7150445650
oct45777660
920662413
109961392
115694161
123404840
1320aa11c
141474360
15d1b7cc
hex97ffb0

9961392 has 80 divisors (see below), whose sum is σ = 30712320. Its totient is φ = 2720256.

The previous prime is 9961387. The next prime is 9961397. The reversal of 9961392 is 2931699.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9961387) and next prime (9961397).

It is a self number, because there is not a number n which added to its sum of digits gives 9961392.

It is not an unprimeable number, because it can be changed into a prime (9961397) 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, 7084 + ... + 8372.

It is an arithmetic number, because the mean of its divisors is an integer number (383904).

Almost surely, 29961392 is an apocalyptic number.

9961392 is a gapful number since it is divisible by the number (92) 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 9961392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15356160).

9961392 is an abundant number, since it is smaller than the sum of its proper divisors (20750928).

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

9961392 is a wasteful number, since it uses less digits than its factorization.

9961392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1324 counting only the distinct ones).

The product of its digits is 26244, while the sum is 39.

The square root of 9961392 is about 3156.1672959461. The cubic root of 9961392 is about 215.1658500373.

The spelling of 9961392 in words is "nine million, nine hundred sixty-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 276 322 336 368 483 552 644 966 1104 1288 1289 1932 2576 2578 3864 3867 5156 7728 7734 9023 10312 15468 18046 20624 27069 29647 30936 36092 54138 59294 61872 72184 88941 108276 118588 144368 177882 207529 216552 237176 355764 415058 433104 474352 622587 711528 830116 1245174 1423056 1660232 2490348 3320464 4980696 9961392