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84233520 = 243557619
BaseRepresentation
bin1010000010101…
…00110100110000
312212111111200000
411001110310300
5133030433040
612205230000
72041654530
oct501246460
9185444600
1084233520
1143602988
1224262300
13145b3327
14b2894c0
1575dd130
hex5054d30

84233520 has 240 divisors, whose sum is σ = 335811840. Its totient is φ = 19222272.

The previous prime is 84233519. The next prime is 84233537. The reversal of 84233520 is 2533248.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 135771 + ... + 136389.

It is an arithmetic number, because the mean of its divisors is an integer number (1399216).

Almost surely, 284233520 is an apocalyptic number.

84233520 is a gapful number since it is divisible by the number (80) 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 84233520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167905920).

84233520 is an abundant number, since it is smaller than the sum of its proper divisors (251578320).

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

84233520 is a wasteful number, since it uses less digits than its factorization.

84233520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 84233520 is about 9177.8821086349. The cubic root of 84233520 is about 438.3573739347.

Adding to 84233520 its reverse (2533248), we get a palindrome (86766768).

The spelling of 84233520 in words is "eighty-four million, two hundred thirty-three thousand, five hundred twenty".