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84134720 = 265467563
BaseRepresentation
bin1010000001111…
…00101101000000
312212022111010202
411000330231000
5133014302340
612203144332
72041063505
oct500745500
9185274122
1084134720
114354572a
12242150a8
131457a377
14b2614ac
1575bdc15
hex503cb40

84134720 has 56 divisors (see below), whose sum is σ = 201131424. Its totient is φ = 33522176.

The previous prime is 84134719. The next prime is 84134723. The reversal of 84134720 is 2743148.

It is a super-2 number, since 2×841347202 = 14157302218956800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84134723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149159 + ... + 149721.

Almost surely, 284134720 is an apocalyptic number.

84134720 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 84134720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100565712).

84134720 is an abundant number, since it is smaller than the sum of its proper divisors (116996704).

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

84134720 is a wasteful number, since it uses less digits than its factorization.

84134720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 84134720 is about 9172.4980239845. The cubic root of 84134720 is about 438.1859194168.

Adding to 84134720 its reverse (2743148), we get a palindrome (86877868).

The spelling of 84134720 in words is "eighty-four million, one hundred thirty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 467 563 934 1126 1868 2252 2335 2815 3736 4504 4670 5630 7472 9008 9340 11260 14944 18016 18680 22520 29888 36032 37360 45040 74720 90080 149440 180160 262921 525842 1051684 1314605 2103368 2629210 4206736 5258420 8413472 10516840 16826944 21033680 42067360 84134720