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2039075920 = 24573798411
BaseRepresentation
bin111100110001001…
…1101010001010000
312021002212210022101
41321202131101100
513134000412140
6534200250144
7101346600520
oct17142352120
95232783271
102039075920
11957006a12
1248aa70954
132665a93cb
14154b4b680
15be03099a
hex7989d450

2039075920 has 80 divisors (see below), whose sum is σ = 5564608128. Its totient is φ = 680209920.

The previous prime is 2039075917. The next prime is 2039075921. The reversal of 2039075920 is 295709302.

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

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 2039075920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2039075921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28486 + ... + 69925.

Almost surely, 22039075920 is an apocalyptic number.

2039075920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2039075920 is an abundant number, since it is smaller than the sum of its proper divisors (3525532208).

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

2039075920 is a wasteful number, since it uses less digits than its factorization.

2039075920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98468 (or 98462 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 37.

The square root of 2039075920 is about 45156.1282662719. The cubic root of 2039075920 is about 1268.0736124075.

The spelling of 2039075920 in words is "two billion, thirty-nine million, seventy-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 37 40 56 70 74 80 112 140 148 185 259 280 296 370 518 560 592 740 1036 1295 1480 2072 2590 2960 4144 5180 10360 20720 98411 196822 393644 492055 688877 787288 984110 1377754 1574576 1968220 2755508 3444385 3641207 3936440 5511016 6888770 7282414 7872880 11022032 13777540 14564828 18206035 25488449 27555080 29129656 36412070 50976898 55110160 58259312 72824140 101953796 127442245 145648280 203907592 254884490 291296560 407815184 509768980 1019537960 2039075920