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1287996090 = 235236171431
BaseRepresentation
bin100110011000101…
…0100001010111010
310022202120222110220
41030301110022322
510114211333330
6331450120510
743626533433
oct11461241272
93282528426
101287996090
11601049587
122bb420136
13176ac4284
14c30b848a
157811d710
hex4cc542ba

1287996090 has 128 divisors (see below), whose sum is σ = 3332358144. Its totient is φ = 317856000.

The previous prime is 1287996077. The next prime is 1287996121. The reversal of 1287996090 is 906997821.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2988175 + ... + 2988605.

It is an arithmetic number, because the mean of its divisors is an integer number (26034048).

Almost surely, 21287996090 is an apocalyptic number.

1287996090 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 1287996090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666179072).

1287996090 is an abundant number, since it is smaller than the sum of its proper divisors (2044362054).

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

1287996090 is a wasteful number, since it uses less digits than its factorization.

1287996090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596.

The product of its (nonzero) digits is 489888, while the sum is 51.

The square root of 1287996090 is about 35888.6624158661. The cubic root of 1287996090 is about 1088.0232641048.

The spelling of 1287996090 in words is "one billion, two hundred eighty-seven million, nine hundred ninety-six thousand, ninety".

Divisors: 1 2 3 5 6 10 15 23 30 46 61 69 71 115 122 138 142 183 213 230 305 345 355 366 426 431 610 690 710 862 915 1065 1293 1403 1633 1830 2130 2155 2586 2806 3266 4209 4310 4331 4899 6465 7015 8165 8418 8662 9798 9913 12930 12993 14030 16330 19826 21045 21655 24495 25986 26291 29739 30601 42090 43310 48990 49565 52582 59478 61202 64965 78873 91803 99130 99613 129930 131455 148695 153005 157746 183606 199226 262910 297390 298839 306010 394365 459015 498065 597678 604693 703823 788730 918030 996130 1209386 1407646 1494195 1814079 1866661 2111469 2988390 3023465 3519115 3628158 3733322 4222938 5599983 6046930 7038230 9070395 9333305 10557345 11199966 18140790 18666610 21114690 27999915 42933203 55999830 85866406 128799609 214666015 257599218 429332030 643998045 1287996090