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84068880 = 24357163307
BaseRepresentation
bin1010000001011…
…00101000010000
312212012010211020
411000230220100
5133010201010
612201515440
72040400530
oct500545020
9185163736
1084068880
1143500215
12241a2b80
13145563cc
14b2454c0
1575a9470
hex502ca10

84068880 has 160 divisors (see below), whose sum is σ = 300647424. Its totient is φ = 19035648.

The previous prime is 84068867. The next prime is 84068911. The reversal of 84068880 is 8886048.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 273687 + ... + 273993.

Almost surely, 284068880 is an apocalyptic number.

84068880 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 84068880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150323712).

84068880 is an abundant number, since it is smaller than the sum of its proper divisors (216578544).

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

84068880 is a wasteful number, since it uses less digits than its factorization.

84068880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

The square root of 84068880 is about 9168.9083319662. The cubic root of 84068880 is about 438.0715881403.

It can be divided in two parts, 84068 and 880, that added together give a palindrome (84948).

The spelling of 84068880 in words is "eighty-four million, sixty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 163 168 210 240 280 307 326 336 420 489 560 614 652 815 840 921 978 1141 1228 1304 1535 1630 1680 1842 1956 2149 2282 2445 2456 2608 3070 3260 3423 3684 3912 4298 4564 4605 4890 4912 5705 6140 6447 6520 6846 7368 7824 8596 9128 9210 9780 10745 11410 12280 12894 13040 13692 14736 17115 17192 18256 18420 19560 21490 22820 24560 25788 27384 32235 34230 34384 36840 39120 42980 45640 50041 51576 54768 64470 68460 73680 85960 91280 100082 103152 128940 136920 150123 171920 200164 250205 257880 273840 300246 350287 400328 500410 515760 600492 700574 750615 800656 1000820 1050861 1200984 1401148 1501230 1751435 2001640 2101722 2401968 2802296 3002460 3502870 4003280 4203444 5254305 5604592 6004920 7005740 8406888 10508610 12009840 14011480 16813776 21017220 28022960 42034440 84068880