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2085437960 = 235521100069
BaseRepresentation
bin111110001001101…
…0100001000001000
312101100010020001222
41330103110020020
513232333003320
6542534101212
7102451634024
oct17423241010
95340106058
102085437960
119801a2451
124a24aa808
1327308c978
1415ad79384
15c313c825
hex7c4d4208

2085437960 has 32 divisors (see below), whose sum is σ = 4701288600. Its totient is φ = 832565760.

The previous prime is 2085437941. The next prime is 2085437969. The reversal of 2085437960 is 697345802.

It can be written as a sum of positive squares in 4 ways, for example, as 1796233924 + 289204036 = 42382^2 + 17006^2 .

It is not an unprimeable number, because it can be changed into a prime (2085437969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29195 + ... + 70874.

Almost surely, 22085437960 is an apocalyptic number.

2085437960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2085437960 is an abundant number, since it is smaller than the sum of its proper divisors (2615850640).

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

2085437960 is a wasteful number, since it uses less digits than its factorization.

2085437960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100601 (or 100597 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 44.

The square root of 2085437960 is about 45666.5956690446. The cubic root of 2085437960 is about 1277.6123213167.

The spelling of 2085437960 in words is "two billion, eighty-five million, four hundred thirty-seven thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 521 1042 2084 2605 4168 5210 10420 20840 100069 200138 400276 500345 800552 1000690 2001380 4002760 52135949 104271898 208543796 260679745 417087592 521359490 1042718980 2085437960