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2032031040 = 263513162823
BaseRepresentation
bin111100100011110…
…0101010101000000
312020121121212112220
41321013211111000
513130144443130
6533345251040
7101232656514
oct17107452500
95217555486
102032031040
11953034aa6
12488633a80
13264cb0940
14153c36144
15bd5dd410
hex791e5540

2032031040 has 112 divisors (see below), whose sum is σ = 6948025728. Its totient is φ = 500189184.

The previous prime is 2032031039. The next prime is 2032031047. The reversal of 2032031040 is 401302302.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2032031047) 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, 68932 + ... + 93891.

It is an arithmetic number, because the mean of its divisors is an integer number (62035944).

Almost surely, 22032031040 is an apocalyptic number.

2032031040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2032031040 is an abundant number, since it is smaller than the sum of its proper divisors (4915994688).

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

2032031040 is a wasteful number, since it uses less digits than its factorization.

2032031040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162856 (or 162846 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2032031040 is about 45078.0549713494. The cubic root of 2032031040 is about 1266.6115556201.

Adding to 2032031040 its reverse (401302302), we get a palindrome (2433333342).

It can be divided in two parts, 20320 and 31040, that added together give a triangular number (51360 = T320).

The spelling of 2032031040 in words is "two billion, thirty-two million, thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 390 416 480 520 624 780 832 960 1040 1248 1560 2080 2496 3120 4160 6240 12480 162823 325646 488469 651292 814115 976938 1302584 1628230 1953876 2116699 2442345 2605168 3256460 3907752 4233398 4884690 5210336 6350097 6512920 7815504 8466796 9769380 10420672 10583495 12700194 13025840 15631008 16933592 19538760 21166990 25400388 26051680 31262016 31750485 33867184 39077520 42333980 50800776 52103360 63500970 67734368 78155040 84667960 101601552 127001940 135468736 156310080 169335920 203203104 254003880 338671840 406406208 508007760 677343680 1016015520 2032031040