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985906020 = 2235113148187
BaseRepresentation
bin111010110000111…
…011101101100100
32112201011012210210
4322300323231210
54004342443040
6241455215420
733301030401
oct7260735544
92481135723
10985906020
11466577870
12236217570
13129344058
1494d1d2a8
155b84a480
hex3ac3bb64

985906020 has 96 divisors (see below), whose sum is σ = 3108704256. Its totient is φ = 231292800.

The previous prime is 985906013. The next prime is 985906037. The reversal of 985906020 is 20609589.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 985906020.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3634 + ... + 44553.

It is an arithmetic number, because the mean of its divisors is an integer number (32382336).

Almost surely, 2985906020 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 985906020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554352128).

985906020 is an abundant number, since it is smaller than the sum of its proper divisors (2122798236).

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

985906020 is a wasteful number, since it uses less digits than its factorization.

985906020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48241 (or 48239 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 985906020 is about 31399.1404340947. The cubic root of 985906020 is about 995.2797610678.

The spelling of 985906020 in words is "nine hundred eighty-five million, nine hundred six thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 31 33 44 55 60 62 66 93 110 124 132 155 165 186 220 310 330 341 372 465 620 660 682 930 1023 1364 1705 1860 2046 3410 4092 5115 6820 10230 20460 48187 96374 144561 192748 240935 289122 481870 530057 578244 722805 963740 1060114 1445610 1493797 1590171 2120228 2650285 2891220 2987594 3180342 4481391 5300570 5975188 6360684 7468985 7950855 8962782 10601140 14937970 15901710 16431767 17925564 22406955 29875940 31803420 32863534 44813910 49295301 65727068 82158835 89627820 98590602 164317670 197181204 246476505 328635340 492953010 985906020