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84140640 = 2533519477
BaseRepresentation
bin1010000001111…
…10001001100000
312212022210021000
411000332021200
5133020000030
612203232000
72041116663
oct500761140
9185283230
1084140640
114354a121
1224218600
131457cc7c
14b2636da
1575c0860
hex503e260

84140640 has 96 divisors (see below), whose sum is σ = 294507360. Its totient is φ = 22436352.

The previous prime is 84140621. The next prime is 84140659. The reversal of 84140640 is 4604148.

84140640 is a `hidden beast` number, since 8 + 4 + 14 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (84140621) and next prime (84140659).

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 5419 + ... + 14058.

It is an arithmetic number, because the mean of its divisors is an integer number (3067785).

Almost surely, 284140640 is an apocalyptic number.

84140640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84140640 is an abundant number, since it is smaller than the sum of its proper divisors (210366720).

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

84140640 is a wasteful number, since it uses less digits than its factorization.

84140640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19501 (or 19487 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 84140640 is about 9172.8207221116. The cubic root of 84140640 is about 438.1961965842.

Adding to 84140640 its reverse (4604148), we get a palindrome (88744788).

The spelling of 84140640 in words is "eighty-four million, one hundred forty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 19477 38954 58431 77908 97385 116862 155816 175293 194770 233724 292155 311632 350586 389540 467448 525879 584310 623264 701172 779080 876465 934896 1051758 1168620 1402344 1558160 1752930 1869792 2103516 2337240 2629395 2804688 3116320 3505860 4207032 4674480 5258790 5609376 7011720 8414064 9348960 10517580 14023440 16828128 21035160 28046880 42070320 84140640