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84132840 = 23351163737
BaseRepresentation
bin1010000001111…
…00001111101000
312212022101120010
411000330033220
5133014222330
612203131520
72041055151
oct500741750
9185271503
1084132840
1143544280
1224213ba0
131457955c
14b260928
1575bd3b0
hex503c3e8

84132840 has 64 divisors (see below), whose sum is σ = 275348160. Its totient is φ = 20395520.

The previous prime is 84132823. The next prime is 84132869. The reversal of 84132840 is 4823148.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 84132798 and 84132807.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30549 + ... + 33188.

It is an arithmetic number, because the mean of its divisors is an integer number (4302315).

Almost surely, 284132840 is an apocalyptic number.

It is an amenable number.

84132840 is an abundant number, since it is smaller than the sum of its proper divisors (191215320).

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

84132840 is a wasteful number, since it uses less digits than its factorization.

84132840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63762 (or 63758 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 84132840 is about 9172.3955431501. The cubic root of 84132840 is about 438.1826556209.

Adding to 84132840 its reverse (4823148), we get a palindrome (88955988).

The spelling of 84132840 in words is "eighty-four million, one hundred thirty-two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 63737 127474 191211 254948 318685 382422 509896 637370 701107 764844 956055 1274740 1402214 1529688 1912110 2103321 2549480 2804428 3505535 3824220 4206642 5608856 7011070 7648440 8413284 10516605 14022140 16826568 21033210 28044280 42066420 84132840