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2120090040 = 233255889139
BaseRepresentation
bin111111001011110…
…0000000110111000
312110202022201210100
41332113200012320
513320220340130
6550212515400
7103352316345
oct17627400670
95422281710
102120090040
11998810032
124b201bb60
1327a303263
141617d97cc
15c61d4c60
hex7e5e01b8

2120090040 has 48 divisors (see below), whose sum is σ = 6890293800. Its totient is φ = 565357248.

The previous prime is 2120090039. The next prime is 2120090051. The reversal of 2120090040 is 400900212.

2120090040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2120089995 and 2120090022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2944210 + ... + 2944929.

Almost surely, 22120090040 is an apocalyptic number.

2120090040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120090040 is an abundant number, since it is smaller than the sum of its proper divisors (4770203760).

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

2120090040 is a wasteful number, since it uses less digits than its factorization.

2120090040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5889156 (or 5889149 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2120090040 is about 46044.4354944221. The cubic root of 2120090040 is about 1284.6498442843.

Adding to 2120090040 its reverse (400900212), we get a palindrome (2520990252).

The spelling of 2120090040 in words is "two billion, one hundred twenty million, ninety thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 5889139 11778278 17667417 23556556 29445695 35334834 47113112 53002251 58891390 70669668 88337085 106004502 117782780 141339336 176674170 212009004 235565560 265011255 353348340 424018008 530022510 706696680 1060045020 2120090040