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84054420 = 223252379257
BaseRepresentation
bin1010000001010…
…01000110010100
312212011101222200
411000221012110
5133004220140
612201324500
72040310422
oct500510624
9185141880
1084054420
11434a036a
1224196730
131454c958
14b240112
1575a5030
hex5029194

84054420 has 144 divisors (see below), whose sum is σ = 270466560. Its totient is φ = 21086208.

The previous prime is 84054419. The next prime is 84054427. The reversal of 84054420 is 2445048.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84054427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 326932 + ... + 327188.

It is an arithmetic number, because the mean of its divisors is an integer number (1878240).

Almost surely, 284054420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84054420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135233280).

84054420 is an abundant number, since it is smaller than the sum of its proper divisors (186412140).

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

84054420 is a wasteful number, since it uses less digits than its factorization.

84054420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 84054420 is about 9168.1197636157. The cubic root of 84054420 is about 438.0464703306.

Adding to 84054420 its reverse (2445048), we get a palindrome (86499468).

The spelling of 84054420 in words is "eighty-four million, fifty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 79 90 92 115 138 158 180 207 230 237 257 276 316 345 395 414 460 474 514 690 711 771 790 828 948 1028 1035 1185 1285 1380 1422 1542 1580 1817 2070 2313 2370 2570 2844 3084 3555 3634 3855 4140 4626 4740 5140 5451 5911 7110 7268 7710 9085 9252 10902 11565 11822 14220 15420 16353 17733 18170 20303 21804 23130 23644 27255 29555 32706 35466 36340 40606 46260 53199 54510 59110 60909 65412 70932 81212 81765 88665 101515 106398 109020 118220 121818 163530 177330 182727 203030 212796 243636 265995 304545 327060 354660 365454 406060 466969 531990 609090 730908 913635 933938 1063980 1218180 1400907 1827270 1867876 2334845 2801814 3654540 4202721 4669690 5603628 7004535 8405442 9339380 14009070 16810884 21013605 28018140 42027210 84054420