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20076700 = 22527232943
BaseRepresentation
bin100110010010…
…1100010011100
31101210000001111
41030211202130
520114423300
61554151404
7332435440
oct114454234
941700044
1020076700
1110372a16
126882564
13420c307
142948820
151b689ba
hex132589c

20076700 has 144 divisors (see below), whose sum is σ = 54996480. Its totient is φ = 6209280.

The previous prime is 20076691. The next prime is 20076703. The reversal of 20076700 is 767002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20076703) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 466879 + ... + 466921.

It is an arithmetic number, because the mean of its divisors is an integer number (381920).

Almost surely, 220076700 is an apocalyptic number.

20076700 is a gapful number since it is divisible by the number (20) 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 20076700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27498240).

20076700 is an abundant number, since it is smaller than the sum of its proper divisors (34919780).

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

20076700 is a wasteful number, since it uses less digits than its factorization.

20076700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 22.

The square root of 20076700 is about 4480.7030698318. The cubic root of 20076700 is about 271.7883120813.

The spelling of 20076700 in words is "twenty million, seventy-six thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 29 35 43 46 50 58 70 86 92 100 115 116 140 145 161 172 175 203 215 230 290 301 322 350 406 430 460 575 580 602 644 667 700 725 805 812 860 989 1015 1075 1150 1204 1247 1334 1450 1505 1610 1978 2030 2150 2300 2494 2668 2900 3010 3220 3335 3956 4025 4060 4300 4669 4945 4988 5075 6020 6235 6670 6923 7525 8050 8729 9338 9890 10150 12470 13340 13846 15050 16100 16675 17458 18676 19780 20300 23345 24725 24940 27692 28681 30100 31175 33350 34615 34916 43645 46690 49450 57362 62350 66700 69230 87290 93380 98900 114724 116725 124700 138460 143405 173075 174580 200767 218225 233450 286810 346150 401534 436450 466900 573620 692300 717025 803068 872900 1003835 1434050 2007670 2868100 4015340 5019175 10038350 20076700