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985094370 = 2325132336607
BaseRepresentation
bin111010101101110…
…101100011100010
32112122121222102200
4322231311203202
54004141004440
6241425554030
733261110151
oct7255654342
92478558380
10985094370
11466072a87
12235aa5916
1312911b7a0
1494b8b598
155b739c30
hex3ab758e2

985094370 has 96 divisors (see below), whose sum is σ = 2878267392. Its totient is φ = 231935616.

The previous prime is 985094333. The next prime is 985094419. The reversal of 985094370 is 73490589.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 8607 + ... + 45213.

It is an arithmetic number, because the mean of its divisors is an integer number (29981952).

Almost surely, 2985094370 is an apocalyptic number.

985094370 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 985094370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439133696).

985094370 is an abundant number, since it is smaller than the sum of its proper divisors (1893173022).

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

985094370 is a wasteful number, since it uses less digits than its factorization.

985094370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36656 (or 36653 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 985094370 is about 31386.2130560538. The cubic root of 985094370 is about 995.0065637640.

The spelling of 985094370 in words is "nine hundred eighty-five million, ninety-four thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 23 26 30 39 45 46 65 69 78 90 115 117 130 138 195 207 230 234 299 345 390 414 585 598 690 897 1035 1170 1495 1794 2070 2691 2990 4485 5382 8970 13455 26910 36607 73214 109821 183035 219642 329463 366070 475891 549105 658926 841961 951782 1098210 1427673 1647315 1683922 2379455 2525883 2855346 3294630 4209805 4283019 4758910 5051766 7138365 7577649 8419610 8566038 10945493 12629415 14276730 15155298 21415095 21890986 25258830 32836479 37888245 42830190 54727465 65672958 75776490 98509437 109454930 164182395 197018874 328364790 492547185 985094370