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996120 = 233252767
BaseRepresentation
bin11110011001100011000
31212121102100
43303030120
5223333440
633203400
711316066
oct3631430
91777370
10996120
11620444
12400560
1328b528
141bd036
1514a230
hexf3318

996120 has 48 divisors (see below), whose sum is σ = 3238560. Its totient is φ = 265536.

The previous prime is 996119. The next prime is 996143. The reversal of 996120 is 21699.

It is a happy number.

996120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 996120.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1024 + ... + 1743.

It is an arithmetic number, because the mean of its divisors is an integer number (67470).

2996120 is an apocalyptic number.

996120 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

996120 is an abundant number, since it is smaller than the sum of its proper divisors (2242440).

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

996120 is a wasteful number, since it uses less digits than its factorization.

996120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2784 (or 2777 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 996120 is about 998.0581145404. The cubic root of 996120 is about 99.8704990341.

The spelling of 996120 in words is "nine hundred ninety-six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 2767 5534 8301 11068 13835 16602 22136 24903 27670 33204 41505 49806 55340 66408 83010 99612 110680 124515 166020 199224 249030 332040 498060 996120