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84031380 = 223251074363
BaseRepresentation
bin1010000001000…
…11011110010100
312212010020101100
411000203132110
5133003001010
612201030100
72040153306
oct500433624
9185106340
1084031380
1143485024
1224185330
1314542314
14b235976
15759d2c0
hex5023794

84031380 has 72 divisors (see below), whose sum is σ = 257336352. Its totient is φ = 22193856.

The previous prime is 84031379. The next prime is 84031429. The reversal of 84031380 is 8313048.

It is a super-2 number, since 2×840313802 = 14122545649408800, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 17079 + ... + 21441.

It is an arithmetic number, because the mean of its divisors is an integer number (3574116).

Almost surely, 284031380 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 84031380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128668176).

84031380 is an abundant number, since it is smaller than the sum of its proper divisors (173304972).

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

84031380 is a wasteful number, since it uses less digits than its factorization.

84031380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4485 (or 4480 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 84031380 is about 9166.8631494094. The cubic root of 84031380 is about 438.0064426400.

The spelling of 84031380 in words is "eighty-four million, thirty-one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 107 180 214 321 428 535 642 963 1070 1284 1605 1926 2140 3210 3852 4363 4815 6420 8726 9630 13089 17452 19260 21815 26178 39267 43630 52356 65445 78534 87260 130890 157068 196335 261780 392670 466841 785340 933682 1400523 1867364 2334205 2801046 4201569 4668410 5602092 7002615 8403138 9336820 14005230 16806276 21007845 28010460 42015690 84031380