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963421020 = 223354341491
BaseRepresentation
bin111001011011001…
…010001101011100
32111010211212012000
4321123022031130
53433113433040
6235333242300
732605641432
oct7133121534
92433755160
10963421020
1145490a521
1222a793390
131247a0813
1491d48d52
15598a8130
hex396ca35c

963421020 has 96 divisors (see below), whose sum is σ = 3067088640. Its totient is φ = 250931520.

The previous prime is 963421001. The next prime is 963421057. The reversal of 963421020 is 20124369.

963421020 is a `hidden beast` number, since 9 + 634 + 2 + 1 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2475 + ... + 43965.

It is an arithmetic number, because the mean of its divisors is an integer number (31948840).

Almost surely, 2963421020 is an apocalyptic number.

963421020 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 963421020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533544320).

963421020 is an abundant number, since it is smaller than the sum of its proper divisors (2103667620).

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

963421020 is a wasteful number, since it uses less digits than its factorization.

963421020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41552 (or 41544 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 963421020 is about 31039.0241470314. The cubic root of 963421020 is about 987.6552406690.

Adding to 963421020 its reverse (20124369), we get a palindrome (983545389).

The spelling of 963421020 in words is "nine hundred sixty-three million, four hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 43 45 54 60 86 90 108 129 135 172 180 215 258 270 387 430 516 540 645 774 860 1161 1290 1548 1935 2322 2580 3870 4644 5805 7740 11610 23220 41491 82982 124473 165964 207455 248946 373419 414910 497892 622365 746838 829820 1120257 1244730 1493676 1784113 1867095 2240514 2489460 3568226 3734190 4481028 5352339 5601285 7136452 7468380 8920565 10704678 11202570 16057017 17841130 21409356 22405140 26761695 32114034 35682260 48171051 53523390 64228068 80285085 96342102 107046780 160570170 192684204 240855255 321140340 481710510 963421020