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20085900 = 22352234171
BaseRepresentation
bin100110010011…
…1110010001100
31101210110200020
41030213302030
520120222100
61554302140
7332504322
oct114476214
941713606
1020085900
111037991a
126887950
134213563
14294bd12
151b6b5a0
hex1327c8c

20085900 has 144 divisors (see below), whose sum is σ = 62995968. Its totient is φ = 4928000.

The previous prime is 20085899. The next prime is 20085911. The reversal of 20085900 is 958002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 282865 + ... + 282935.

It is an arithmetic number, because the mean of its divisors is an integer number (437472).

Almost surely, 220085900 is an apocalyptic number.

20085900 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 20085900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31497984).

20085900 is an abundant number, since it is smaller than the sum of its proper divisors (42910068).

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

20085900 is a wasteful number, since it uses less digits than its factorization.

20085900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 20085900 is about 4481.7295768487. The cubic root of 20085900 is about 271.8298207395.

The spelling of 20085900 in words is "twenty million, eighty-five thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 41 46 50 60 69 71 75 82 92 100 115 123 138 142 150 164 205 213 230 246 276 284 300 345 355 410 426 460 492 575 615 690 710 820 852 943 1025 1065 1150 1230 1380 1420 1633 1725 1775 1886 2050 2130 2300 2460 2829 2911 3075 3266 3450 3550 3772 4100 4260 4715 4899 5325 5658 5822 6150 6532 6900 7100 8165 8733 9430 9798 10650 11316 11644 12300 14145 14555 16330 17466 18860 19596 21300 23575 24495 28290 29110 32660 34932 40825 43665 47150 48990 56580 58220 66953 70725 72775 81650 87330 94300 97980 122475 133906 141450 145550 163300 174660 200859 218325 244950 267812 282900 291100 334765 401718 436650 489900 669530 803436 873300 1004295 1339060 1673825 2008590 3347650 4017180 5021475 6695300 10042950 20085900