Search a number
-
+
986087040 = 27351730211
BaseRepresentation
bin111010110001100…
…111111010000000
32112201111102010020
4322301213322000
54004414241130
6241503133440
733302413221
oct7261477200
92481442106
10986087040
11466690874
122362a4280
131293a8573
1494d69248
155b883e10
hex3ac67e80

986087040 has 128 divisors (see below), whose sum is σ = 3328153920. Its totient is φ = 247480320.

The previous prime is 986087017. The next prime is 986087041. The reversal of 986087040 is 40780689.

It is a happy number.

986087040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 986086983 and 986087001.

It is not an unprimeable number, because it can be changed into a prime (986087041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17535 + ... + 47745.

Almost surely, 2986087040 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 986087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664076960).

986087040 is an abundant number, since it is smaller than the sum of its proper divisors (2342066880).

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

986087040 is a wasteful number, since it uses less digits than its factorization.

986087040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30250 (or 30238 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 986087040 is about 31402.0228647774. The cubic root of 986087040 is about 995.3406710373.

The spelling of 986087040 in words is "nine hundred eighty-six million, eighty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 272 320 340 384 408 480 510 544 640 680 816 960 1020 1088 1360 1632 1920 2040 2176 2720 3264 4080 5440 6528 8160 10880 16320 30211 32640 60422 90633 120844 151055 181266 241688 302110 362532 453165 483376 513587 604220 725064 906330 966752 1027174 1208440 1450128 1540761 1812660 1933504 2054348 2416880 2567935 2900256 3081522 3625320 3867008 4108696 4833760 5135870 5800512 6163044 7250640 7703805 8217392 9667520 10271740 11601024 12326088 14501280 15407610 16434784 19335040 20543480 24652176 29002560 30815220 32869568 41086960 49304352 58005120 61630440 65739136 82173920 98608704 123260880 164347840 197217408 246521760 328695680 493043520 986087040