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981482080 = 25517734943
BaseRepresentation
bin111010100000000…
…011101001100000
32112101211110022011
4322200003221200
54002224411310
6241220322304
733215313535
oct7240035140
92471743264
10981482080
11464026017
12234843394
13128455537
14944cad8c
155b27478a
hex3a803a60

981482080 has 96 divisors (see below), whose sum is σ = 2489284224. Its totient is φ = 364363776.

The previous prime is 981482071. The next prime is 981482087. The reversal of 981482080 is 80284189.

It is a super-2 number, since 2×9814820802 = 1926614146722252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (981482087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196089 + ... + 201031.

It is an arithmetic number, because the mean of its divisors is an integer number (25930044).

Almost surely, 2981482080 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 981482080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244642112).

981482080 is an abundant number, since it is smaller than the sum of its proper divisors (1507802144).

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

981482080 is a wasteful number, since it uses less digits than its factorization.

981482080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5048 (or 5040 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 40.

The square root of 981482080 is about 31328.6143964268. The cubic root of 981482080 is about 993.7888616318.

The spelling of 981482080 in words is "nine hundred eighty-one million, four hundred eighty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 73 80 85 136 146 160 170 272 292 340 365 544 584 680 730 1168 1241 1360 1460 2336 2482 2720 2920 4943 4964 5840 6205 9886 9928 11680 12410 19772 19856 24715 24820 39544 39712 49430 49640 79088 84031 98860 99280 158176 168062 197720 198560 336124 360839 395440 420155 672248 721678 790880 840310 1344496 1443356 1680620 1804195 2688992 2886712 3361240 3608390 5773424 6134263 6722480 7216780 11546848 12268526 13444960 14433560 24537052 28867120 30671315 49074104 57734240 61342630 98148208 122685260 196296416 245370520 490741040 981482080