Search a number
-
+
1380105888 = 25371925689
BaseRepresentation
bin101001001000010…
…1011111010100000
310120011220122100220
41102100223322200
510311301342023
6344540243040
746125464220
oct12220537240
93504818326
101380105888
11649040a87
12326240480
1318cc04605
14d1414080
15812653e3
hex5242bea0

1380105888 has 144 divisors (see below), whose sum is σ = 4370466240. Its totient is φ = 373496832.

The previous prime is 1380105877. The next prime is 1380105893. The reversal of 1380105888 is 8885010831.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 239748 + ... + 245436.

It is an arithmetic number, because the mean of its divisors is an integer number (30350460).

Almost surely, 21380105888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1380105888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2185233120).

1380105888 is an abundant number, since it is smaller than the sum of its proper divisors (2990360352).

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

1380105888 is a wasteful number, since it uses less digits than its factorization.

1380105888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5747 (or 5720 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 42.

The square root of 1380105888 is about 37149.7764192465. The cubic root of 1380105888 is about 1113.3647563850.

The spelling of 1380105888 in words is "one billion, three hundred eighty million, one hundred five thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 76 84 96 112 114 133 152 168 224 228 266 304 336 361 399 456 532 608 672 722 798 912 1064 1083 1444 1596 1824 2128 2166 2527 2888 3192 4256 4332 5054 5689 5776 6384 7581 8664 10108 11378 11552 12768 15162 17067 17328 20216 22756 30324 34134 34656 39823 40432 45512 60648 68268 79646 80864 91024 108091 119469 121296 136536 159292 182048 216182 238938 242592 273072 318584 324273 432364 477876 546144 637168 648546 756637 864728 955752 1274336 1297092 1513274 1729456 1911504 2053729 2269911 2594184 3026548 3458912 3823008 4107458 4539822 5188368 6053096 6161187 8214916 9079644 10376736 12106192 12322374 14376103 16429832 18159288 24212384 24644748 28752206 32859664 36318576 43128309 49289496 57504412 65719328 72637152 86256618 98578992 115008824 172513236 197157984 230017648 345026472 460035296 690052944 1380105888