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1890788340 = 223575976303
BaseRepresentation
bin111000010110011…
…0010001111110100
311212202211222222210
41300230302033310
512333020211330
6511342053420
764566302310
oct16054621764
94782758883
101890788340
118903342a1
1244927a270
13241959a8c
1413d18ab40
15b0edd8b0
hex70b323f4

1890788340 has 96 divisors (see below), whose sum is σ = 6153154560. Its totient is φ = 424849536.

The previous prime is 1890788329. The next prime is 1890788353. The reversal of 1890788340 is 438870981.

1890788340 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1890788340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13372 + ... + 62931.

It is an arithmetic number, because the mean of its divisors is an integer number (64095360).

Almost surely, 21890788340 is an apocalyptic number.

1890788340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1890788340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3076577280).

1890788340 is an abundant number, since it is smaller than the sum of its proper divisors (4262366220).

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

1890788340 is a wasteful number, since it uses less digits than its factorization.

1890788340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76381 (or 76379 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The square root of 1890788340 is about 43483.1960646869. The cubic root of 1890788340 is about 1236.5574694362.

The spelling of 1890788340 in words is "one billion, eight hundred ninety million, seven hundred eighty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 59 60 70 84 105 118 140 177 210 236 295 354 413 420 590 708 826 885 1180 1239 1652 1770 2065 2478 3540 4130 4956 6195 8260 12390 24780 76303 152606 228909 305212 381515 457818 534121 763030 915636 1068242 1144545 1526060 1602363 2136484 2289090 2670605 3204726 4501877 4578180 5341210 6409452 8011815 9003754 10682420 13505631 16023630 18007508 22509385 27011262 31513139 32047260 45018770 54022524 63026278 67528155 90037540 94539417 126052556 135056310 157565695 189078834 270112620 315131390 378157668 472697085 630262780 945394170 1890788340