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84019740 = 22357251797
BaseRepresentation
bin1010000001000…
…00101000011100
312212002122102020
411000200220130
5133002112430
612200500140
72040104340
oct500405034
9185078366
1084019740
1143477302
122417a650
1314539c2c
14b231620
157599b10
hex5020a1c

84019740 has 96 divisors (see below), whose sum is σ = 270273024. Its totient is φ = 19104000.

The previous prime is 84019723. The next prime is 84019777. The reversal of 84019740 is 4791048.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105022 + ... + 105818.

It is an arithmetic number, because the mean of its divisors is an integer number (2815344).

Almost surely, 284019740 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 84019740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135136512).

84019740 is an abundant number, since it is smaller than the sum of its proper divisors (186253284).

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

84019740 is a wasteful number, since it uses less digits than its factorization.

84019740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 84019740 is about 9166.2282319392. The cubic root of 84019740 is about 437.9862175351.

The spelling of 84019740 in words is "eighty-four million, nineteen thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 251 420 502 753 797 1004 1255 1506 1594 1757 2391 2510 3012 3188 3514 3765 3985 4782 5020 5271 5579 7028 7530 7970 8785 9564 10542 11158 11955 15060 15940 16737 17570 21084 22316 23910 26355 27895 33474 35140 47820 52710 55790 66948 83685 105420 111580 167370 200047 334740 400094 600141 800188 1000235 1200282 1400329 2000470 2400564 2800658 3000705 4000940 4200987 5601316 6001410 7001645 8401974 12002820 14003290 16803948 21004935 28006580 42009870 84019740