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1413668790 = 2325149271389
BaseRepresentation
bin101010001000010…
…1101111110110110
310122112001211000100
41110100231332312
510343344400130
6352135454530
750013662232
oct12420557666
93575054010
101413668790
11665a85316
12335527446
13196b56211
14d5a6d5c2
1584194c60
hex5442dfb6

1413668790 has 96 divisors (see below), whose sum is σ = 3723408000. Its totient is φ = 372107520.

The previous prime is 1413668783. The next prime is 1413668819. The reversal of 1413668790 is 978663141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3633916 + ... + 3634304.

It is an arithmetic number, because the mean of its divisors is an integer number (38785500).

Almost surely, 21413668790 is an apocalyptic number.

1413668790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1413668790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1861704000).

1413668790 is an abundant number, since it is smaller than the sum of its proper divisors (2309739210).

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

1413668790 is a wasteful number, since it uses less digits than its factorization.

1413668790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1413668790 is about 37598.7870815004. The cubic root of 1413668790 is about 1122.3179010923.

The spelling of 1413668790 in words is "one billion, four hundred thirteen million, six hundred sixty-eight thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 149 271 298 389 447 542 745 778 813 894 1167 1341 1355 1490 1626 1945 2235 2334 2439 2682 2710 3501 3890 4065 4470 4878 5835 6705 7002 8130 11670 12195 13410 17505 24390 35010 40379 57961 80758 105419 115922 121137 173883 201895 210838 242274 289805 316257 347766 363411 403790 521649 527095 579610 605685 632514 726822 869415 948771 1043298 1054190 1211370 1581285 1738830 1817055 1897542 2608245 3162570 3634110 4743855 5216490 9487710 15707431 31414862 47122293 78537155 94244586 141366879 157074310 235611465 282733758 471222930 706834395 1413668790