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981490080 = 25357692659
BaseRepresentation
bin111010100000000…
…101100110100000
32112101211212021110
4322200011212200
54002230140310
6241220423320
733215346054
oct7240054640
92471755243
10981490080
1146403102a
12234847b40
1312845907c
14944cdc64
155b276d20
hex3a8059a0

981490080 has 96 divisors (see below), whose sum is σ = 3096878400. Its totient is φ = 261292032.

The previous prime is 981490079. The next prime is 981490091. The reversal of 981490080 is 80094189.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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, 367791 + ... + 370449.

It is an arithmetic number, because the mean of its divisors is an integer number (32259150).

Almost surely, 2981490080 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 981490080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548439200).

981490080 is an abundant number, since it is smaller than the sum of its proper divisors (2115388320).

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

981490080 is a wasteful number, since it uses less digits than its factorization.

981490080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3446 (or 3438 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 981490080 is about 31328.7420749701. The cubic root of 981490080 is about 993.7915617284.

The spelling of 981490080 in words is "nine hundred eighty-one million, four hundred ninety thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 769 1538 2307 2659 3076 3845 4614 5318 6152 7690 7977 9228 10636 11535 12304 13295 15380 15954 18456 21272 23070 24608 26590 30760 31908 36912 39885 42544 46140 53180 61520 63816 73824 79770 85088 92280 106360 123040 127632 159540 184560 212720 255264 319080 369120 425440 638160 1276320 2044771 4089542 6134313 8179084 10223855 12268626 16358168 20447710 24537252 30671565 32716336 40895420 49074504 61343130 65432672 81790840 98149008 122686260 163581680 196298016 245372520 327163360 490745040 981490080