Search a number
-
+
1379024928 = 2532371271019
BaseRepresentation
bin101001000110010…
…0100000000100000
310120002212201120100
41102030210000200
510311012244203
6344501142400
746113342561
oct12214440040
93502781510
101379024928
11648472926
123259baa00
1318c9165a8
14d1212168
15810eeea3
hex52324020

1379024928 has 144 divisors (see below), whose sum is σ = 4063288320. Its totient is φ = 443294208.

The previous prime is 1379024897. The next prime is 1379024929. The reversal of 1379024928 is 8294209731.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (1379024929) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1352803 + ... + 1353821.

It is an arithmetic number, because the mean of its divisors is an integer number (28217280).

Almost surely, 21379024928 is an apocalyptic number.

1379024928 is a gapful number since it is divisible by the number (18) 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 1379024928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2031644160).

1379024928 is an abundant number, since it is smaller than the sum of its proper divisors (2684263392).

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

1379024928 is a wasteful number, since it uses less digits than its factorization.

1379024928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199 (or 1188 counting only the distinct ones).

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

The square root of 1379024928 is about 37135.2248949700. The cubic root of 1379024928 is about 1113.0740016135.

The spelling of 1379024928 in words is "one billion, three hundred seventy-nine million, twenty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 127 144 148 222 254 288 296 333 381 444 508 592 666 762 888 1016 1019 1143 1184 1332 1524 1776 2032 2038 2286 2664 3048 3057 3552 4064 4076 4572 4699 5328 6096 6114 8152 9144 9171 9398 10656 12192 12228 14097 16304 18288 18342 18796 24456 28194 32608 36576 36684 37592 37703 42291 48912 56388 73368 75184 75406 84582 97824 112776 113109 129413 146736 150368 150812 169164 225552 226218 258826 293472 301624 338328 339327 388239 451104 452436 517652 603248 676656 678654 776478 904872 1035304 1164717 1206496 1353312 1357308 1552956 1809744 2070608 2329434 2714616 3105912 3619488 4141216 4658868 4788281 5429232 6211824 9317736 9576562 10858464 12423648 14364843 18635472 19153124 28729686 37270944 38306248 43094529 57459372 76612496 86189058 114918744 153224992 172378116 229837488 344756232 459674976 689512464 1379024928