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84310720 = 2651321559
BaseRepresentation
bin1010000011001…
…11101011000000
312212122102120021
411001213223000
5133040420340
612211023224
72042425564
oct501475300
9185572507
1084310720
114365598a
122429ab14
131460c500
14b2a96a4
157605e4a
hex5067ac0

84310720 has 84 divisors (see below), whose sum is σ = 217535760. Its totient is φ = 31110144.

The previous prime is 84310703. The next prime is 84310763. The reversal of 84310720 is 2701348.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53301 + ... + 54859.

Almost surely, 284310720 is an apocalyptic number.

84310720 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 84310720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108767880).

84310720 is an abundant number, since it is smaller than the sum of its proper divisors (133225040).

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

84310720 is a wasteful number, since it uses less digits than its factorization.

84310720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 84310720 is about 9182.0869087588. The cubic root of 84310720 is about 438.4912511847.

The spelling of 84310720 in words is "eighty-four million, three hundred ten thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 169 208 260 320 338 416 520 676 832 845 1040 1352 1559 1690 2080 2704 3118 3380 4160 5408 6236 6760 7795 10816 12472 13520 15590 20267 24944 27040 31180 40534 49888 54080 62360 81068 99776 101335 124720 162136 202670 249440 263471 324272 405340 498880 526942 648544 810680 1053884 1297088 1317355 1621360 2107768 2634710 3242720 4215536 5269420 6485440 8431072 10538840 16862144 21077680 42155360 84310720