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985421700 = 223452192337
BaseRepresentation
bin111010101111000…
…101011110000100
32112200020121110000
4322233011132010
54004231443300
6241441001300
733263642364
oct7257053604
92480217400
10985421700
114662769aa
12236023230
13129204783
1494c349a4
155b7a1c00
hex3abc5784

985421700 has 270 divisors, whose sum is σ = 3381323946. Its totient is φ = 248209920.

The previous prime is 985421687. The next prime is 985421737. The reversal of 985421700 is 7124589.

It can be written as a sum of positive squares in 3 ways, for example, as 16842816 + 968578884 = 4104^2 + 31122^2 .

It is a tau number, because it is divible by the number of its divisors (270).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 2923932 + ... + 2924268.

Almost surely, 2985421700 is an apocalyptic number.

985421700 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 985421700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690661973).

985421700 is an abundant number, since it is smaller than the sum of its proper divisors (2395902246).

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

985421700 is a wasteful number, since it uses less digits than its factorization.

985421700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 985421700 is about 31391.4271736728. The cubic root of 985421700 is about 995.1167594436.

The spelling of 985421700 in words is "nine hundred eighty-five million, four hundred twenty-one thousand, seven hundred".