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981120 = 2735773
BaseRepresentation
bin11101111100010000000
31211211211210
43233202000
5222343440
633010120
711224260
oct3574200
91754753
10981120
11610148
123b3940
1328475a
141b77a0
15145a80
hexef880

981120 has 128 divisors (see below), whose sum is σ = 3623040. Its totient is φ = 221184.

The previous prime is 981091. The next prime is 981133. The reversal of 981120 is 21189.

981120 = T35 + T36 + ... + T180.

981120 = 782 + 792 + ... + 1502.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

981120 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 15 ways as a sum of consecutive naturals, for example, 13404 + ... + 13476.

It is an arithmetic number, because the mean of its divisors is an integer number (28305).

2981120 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 981120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811520).

981120 is an abundant number, since it is smaller than the sum of its proper divisors (2641920).

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

981120 is a wasteful number, since it uses less digits than its factorization.

981120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 981120 is about 990.5150175540. The cubic root of 981120 is about 99.3666639897.

The spelling of 981120 in words is "nine hundred eighty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 73 80 84 96 105 112 120 128 140 146 160 168 192 210 219 224 240 280 292 320 336 365 384 420 438 448 480 511 560 584 640 672 730 840 876 896 960 1022 1095 1120 1168 1344 1460 1533 1680 1752 1920 2044 2190 2240 2336 2555 2688 2920 3066 3360 3504 4088 4380 4480 4672 5110 5840 6132 6720 7008 7665 8176 8760 9344 10220 11680 12264 13440 14016 15330 16352 17520 20440 23360 24528 28032 30660 32704 35040 40880 46720 49056 61320 65408 70080 81760 98112 122640 140160 163520 196224 245280 327040 490560 981120