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2312006480 = 245720112053
BaseRepresentation
bin1000100111001110…
…0110101101010000
312222010110002122122
42021303212231100
514213333201410
61021230153412
7111202505450
oct21163465520
95863402578
102312006480
11a87081763
12546352868
132aacba094
1417d0b5d60
15d7e93e55
hex89ce6b50

2312006480 has 80 divisors (see below), whose sum is σ = 6149380224. Its totient is φ = 791907840.

The previous prime is 2312006467. The next prime is 2312006491. The reversal of 2312006480 is 846002132.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1125134 + ... + 1127186.

Almost surely, 22312006480 is an apocalyptic number.

2312006480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2312006480 is an abundant number, since it is smaller than the sum of its proper divisors (3837373744).

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

2312006480 is a wasteful number, since it uses less digits than its factorization.

2312006480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4084 (or 4078 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 2312006480 is about 48083.3285037548. The cubic root of 2312006480 is about 1322.2990390552.

The spelling of 2312006480 in words is "two billion, three hundred twelve million, six thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 2011 2053 4022 4106 8044 8212 10055 10265 14077 14371 16088 16424 20110 20530 28154 28742 32176 32848 40220 41060 56308 57484 70385 71855 80440 82120 112616 114968 140770 143710 160880 164240 225232 229936 281540 287420 563080 574840 1126160 1149680 4128583 8257166 16514332 20642915 28900081 33028664 41285830 57800162 66057328 82571660 115600324 144500405 165143320 231200648 289000810 330286640 462401296 578001620 1156003240 2312006480