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996840 = 233351371
BaseRepresentation
bin11110011010111101000
31212122102000
43303113220
5223344330
633211000
711321145
oct3632750
91778360
10996840
11620a39
12400a60
1328b960
141bd3cc
1514a560
hexf35e8

996840 has 128 divisors (see below), whose sum is σ = 3628800. Its totient is φ = 241920.

The previous prime is 996811. The next prime is 996841. The reversal of 996840 is 48699.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 996795 and 996804.

It is not an unprimeable number, because it can be changed into a prime (996841) by changing a digit.

996840 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14005 + ... + 14075.

It is an arithmetic number, because the mean of its divisors is an integer number (28350).

2996840 is an apocalyptic number.

996840 is a gapful number since it is divisible by the number (90) 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 996840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814400).

996840 is an abundant number, since it is smaller than the sum of its proper divisors (2631960).

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

996840 is a wasteful number, since it uses less digits than its factorization.

996840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 996840 is about 998.4187498239. The cubic root of 996840 is about 99.8945555204.

The spelling of 996840 in words is "nine hundred ninety-six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 71 72 78 90 104 108 117 120 130 135 142 156 180 195 213 216 234 260 270 284 312 351 355 360 390 426 468 520 540 568 585 639 702 710 780 852 923 936 1065 1080 1170 1278 1404 1420 1560 1704 1755 1846 1917 2130 2340 2556 2769 2808 2840 3195 3510 3692 3834 4260 4615 4680 5112 5538 6390 7020 7384 7668 8307 8520 9230 9585 11076 12780 13845 14040 15336 16614 18460 19170 22152 24921 25560 27690 33228 36920 38340 41535 49842 55380 66456 76680 83070 99684 110760 124605 166140 199368 249210 332280 498420 996840