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2089235460 = 2235132206039
BaseRepresentation
bin111110010000111…
…0011010000000100
312101121021011021010
41330201303100010
513234321013320
6543151322220
7102526131324
oct17441632004
95347234233
102089235460
11982356584
124a3820370
13273abc300
1415b687284
15c363cae0
hex7c873404

2089235460 has 72 divisors (see below), whose sum is σ = 6334493760. Its totient is φ = 514270848.

The previous prime is 2089235441. The next prime is 2089235479. The reversal of 2089235460 is 645329802.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2089235441) and next prime (2089235479).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92880 + ... + 113159.

It is an arithmetic number, because the mean of its divisors is an integer number (87979080).

Almost surely, 22089235460 is an apocalyptic number.

2089235460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2089235460 is an abundant number, since it is smaller than the sum of its proper divisors (4245258300).

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

2089235460 is a wasteful number, since it uses less digits than its factorization.

2089235460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206077 (or 206062 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 2089235460 is about 45708.1552898386. The cubic root of 2089235460 is about 1278.3873449042.

The spelling of 2089235460 in words is "two billion, eighty-nine million, two hundred thirty-five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 169 195 260 338 390 507 676 780 845 1014 1690 2028 2535 3380 5070 10140 206039 412078 618117 824156 1030195 1236234 2060390 2472468 2678507 3090585 4120780 5357014 6181170 8035521 10714028 12362340 13392535 16071042 26785070 32142084 34820591 40177605 53570140 69641182 80355210 104461773 139282364 160710420 174102955 208923546 348205910 417847092 522308865 696411820 1044617730 2089235460