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83700420 = 22354767443
BaseRepresentation
bin1001111110100…
…10101011000100
312211111102101120
410333102223010
5132411403140
612145553540
72034304356
oct477225304
9184442346
1083700420
1143279401
12240458b0
131445779b
14b18b0d6
1575351d0
hex4fd2ac4

83700420 has 96 divisors (see below), whose sum is σ = 243468288. Its totient is φ = 21470592.

The previous prime is 83700389. The next prime is 83700439. The reversal of 83700420 is 2400738.

It is a plaindrome in base 13.

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, 188719 + ... + 189161.

It is an arithmetic number, because the mean of its divisors is an integer number (2536128).

Almost surely, 283700420 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 83700420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121734144).

83700420 is an abundant number, since it is smaller than the sum of its proper divisors (159767868).

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

83700420 is a wasteful number, since it uses less digits than its factorization.

83700420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 83700420 is about 9148.7933630616. The cubic root of 83700420 is about 437.4306524097.

The spelling of 83700420 in words is "eighty-three million, seven hundred thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 67 94 134 141 188 201 235 268 282 335 402 443 470 564 670 705 804 886 940 1005 1329 1340 1410 1772 2010 2215 2658 2820 3149 4020 4430 5316 6298 6645 8860 9447 12596 13290 15745 18894 20821 26580 29681 31490 37788 41642 47235 59362 62463 62980 83284 89043 94470 104105 118724 124926 148405 178086 188940 208210 249852 296810 312315 356172 416420 445215 593620 624630 890430 1249260 1395007 1780860 2790014 4185021 5580028 6975035 8370042 13950070 16740084 20925105 27900140 41850210 83700420