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2125088440 = 235193190199
BaseRepresentation
bin111111010101010…
…0100011010111000
312111002201200022021
41332222210122320
513323010312230
6550512004224
7103442645056
oct17652443270
95432650267
102125088440
119a0614442
124b3830674
1327b3633a7
1416233b1d6
15c6870c7a
hex7eaa46b8

2125088440 has 64 divisors (see below), whose sum is σ = 5195520000. Its totient is φ = 779310720.

The previous prime is 2125088431. The next prime is 2125088443. The reversal of 2125088440 is 448805212.

It is a junction number, because it is equal to n+sod(n) for n = 2125088396 and 2125088405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2125088443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21540 + ... + 68659.

It is an arithmetic number, because the mean of its divisors is an integer number (81180000).

Almost surely, 22125088440 is an apocalyptic number.

2125088440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2125088440 is an abundant number, since it is smaller than the sum of its proper divisors (3070431560).

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

2125088440 is a wasteful number, since it uses less digits than its factorization.

2125088440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90260 (or 90256 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 34.

The square root of 2125088440 is about 46098.6815429682. The cubic root of 2125088440 is about 1285.6586307008.

The spelling of 2125088440 in words is "two billion, one hundred twenty-five million, eighty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 31 38 40 62 76 95 124 152 155 190 248 310 380 589 620 760 1178 1240 2356 2945 4712 5890 11780 23560 90199 180398 360796 450995 721592 901990 1713781 1803980 2796169 3427562 3607960 5592338 6855124 8568905 11184676 13710248 13980845 17137810 22369352 27961690 34275620 53127211 55923380 68551240 106254422 111846760 212508844 265636055 425017688 531272110 1062544220 2125088440