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985614140 = 2257371491277
BaseRepresentation
bin111010101111110…
…100011100111100
32112200121101102102
4322233310130330
54004304123030
6241445044232
733265403420
oct7257643474
92480541372
10985614140
11466398545
122360b6678
13129271244
1494c84b80
155b7ddc45
hex3abf473c

985614140 has 96 divisors (see below), whose sum is σ = 2447625600. Its totient is φ = 326329344.

The previous prime is 985614139. The next prime is 985614143. The reversal of 985614140 is 41416589.

It is a junction number, because it is equal to n+sod(n) for n = 985614094 and 985614103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (985614143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 771182 + ... + 772458.

It is an arithmetic number, because the mean of its divisors is an integer number (25496100).

Almost surely, 2985614140 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 985614140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223812800).

985614140 is an abundant number, since it is smaller than the sum of its proper divisors (1462011460).

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

985614140 is a wasteful number, since it uses less digits than its factorization.

985614140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 985614140 is about 31394.4921921027. The cubic root of 985614140 is about 995.1815330002.

The spelling of 985614140 in words is "nine hundred eighty-five million, six hundred fourteen thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 74 140 148 149 185 259 298 370 518 596 740 745 1036 1043 1277 1295 1490 2086 2554 2590 2980 4172 5108 5180 5215 5513 6385 8939 10430 11026 12770 17878 20860 22052 25540 27565 35756 38591 44695 47249 55130 77182 89390 94498 110260 154364 178780 188996 190273 192955 236245 330743 380546 385910 472490 661486 761092 771820 944980 951365 1322972 1331911 1653715 1902730 2663822 3307430 3805460 5327644 6614860 6659555 7040101 13319110 14080202 26638220 28160404 35200505 49280707 70401010 98561414 140802020 197122828 246403535 492807070 985614140