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84372480 = 2103251831
BaseRepresentation
bin1010000011101…
…10110000000000
312212202120021200
411001312300000
5133044404410
612212221200
72043103623
oct501666000
9185676250
1084372480
1143698325
122430a800
131463165a
14b2c3dba
1576193c0
hex5076c00

84372480 has 132 divisors (see below), whose sum is σ = 292508112. Its totient is φ = 22487040.

The previous prime is 84372439. The next prime is 84372499. The reversal of 84372480 is 8427348.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45165 + ... + 46995.

Almost surely, 284372480 is an apocalyptic number.

84372480 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 84372480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146254056).

84372480 is an abundant number, since it is smaller than the sum of its proper divisors (208135632).

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

84372480 is a wasteful number, since it uses less digits than its factorization.

84372480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1862 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 84372480 is about 9185.4493629871. The cubic root of 84372480 is about 438.5982941553.

The spelling of 84372480 in words is "eighty-four million, three hundred seventy-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1831 1920 2304 2560 2880 3072 3662 3840 4608 5120 5493 5760 7324 7680 9155 9216 10986 11520 14648 15360 16479 18310 21972 23040 27465 29296 32958 36620 43944 46080 54930 58592 65916 73240 82395 87888 109860 117184 131832 146480 164790 175776 219720 234368 263664 292960 329580 351552 439440 468736 527328 585920 659160 703104 878880 937472 1054656 1171840 1318320 1406208 1757760 1874944 2109312 2343680 2636640 2812416 3515520 4218624 4687360 5273280 5624832 7031040 8437248 9374720 10546560 14062080 16874496 21093120 28124160 42186240 84372480