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981481640 = 235831012927
BaseRepresentation
bin111010100000000…
…011100010101000
32112101211102200212
4322200003202220
54002224403030
6241220320252
733215312336
oct7240034250
92471742625
10981481640
11464025757
12234843088
13128455289
14944cab56
155b274595
hex3a8038a8

981481640 has 64 divisors (see below), whose sum is σ = 2257839360. Its totient is φ = 383891200.

The previous prime is 981481609. The next prime is 981481663. The reversal of 981481640 is 46184189.

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, 333857 + ... + 336783.

It is an arithmetic number, because the mean of its divisors is an integer number (35278740).

Almost surely, 2981481640 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 981481640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128919680).

981481640 is an abundant number, since it is smaller than the sum of its proper divisors (1276357720).

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

981481640 is a wasteful number, since it uses less digits than its factorization.

981481640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3122 (or 3118 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 41.

The square root of 981481640 is about 31328.6073740918. The cubic root of 981481640 is about 993.7887131260.

The spelling of 981481640 in words is "nine hundred eighty-one million, four hundred eighty-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 83 101 166 202 332 404 415 505 664 808 830 1010 1660 2020 2927 3320 4040 5854 8383 11708 14635 16766 23416 29270 33532 41915 58540 67064 83830 117080 167660 242941 295627 335320 485882 591254 971764 1182508 1214705 1478135 1943528 2365016 2429410 2956270 4858820 5912540 9717640 11825080 24537041 49074082 98148164 122685205 196296328 245370410 490740820 981481640