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2149089840 = 24335994949
BaseRepresentation
bin1000000000011000…
…1000001000110000
312112202220002001000
42000012020020300
513400131333330
6553130242000
7104153651022
oct20006101060
95482802030
102149089840
11a03118007
124bb886300
13283317bc1
141655c8012
15c8a12560
hex80188230

2149089840 has 80 divisors (see below), whose sum is σ = 7402428000. Its totient is φ = 573090048.

The previous prime is 2149089827. The next prime is 2149089857. The reversal of 2149089840 is 489809412.

2149089840 is a `hidden beast` number, since 2 + 1 + 490 + 89 + 84 + 0 = 666.

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 (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 495315 + ... + 499634.

It is an arithmetic number, because the mean of its divisors is an integer number (92530350).

Almost surely, 22149089840 is an apocalyptic number.

2149089840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2149089840 is an abundant number, since it is smaller than the sum of its proper divisors (5253338160).

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

2149089840 is a wasteful number, since it uses less digits than its factorization.

2149089840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994971 (or 994959 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 2149089840 is about 46358.2769308783. The cubic root of 2149089840 is about 1290.4807294291.

The spelling of 2149089840 in words is "two billion, one hundred forty-nine million, eighty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 994949 1989898 2984847 3979796 4974745 5969694 7959592 8954541 9949490 11939388 14924235 15919184 17909082 19898980 23878776 26863623 29848470 35818164 39797960 44772705 47757552 53727246 59696940 71636328 79595920 89545410 107454492 119393880 134318115 143272656 179090820 214908984 238787760 268636230 358181640 429817968 537272460 716363280 1074544920 2149089840