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1375086432 = 253149251383
BaseRepresentation
bin101000111110110…
…0010011101100000
310112211110121222010
41101331202131200
510304010231212
6344240512520
746035020226
oct12175423540
93484417863
101375086432
11646222875
1232461b740
1318bb67a15
14d08a8b16
1580ac303c
hex51f62760

1375086432 has 96 divisors (see below), whose sum is σ = 3657830400. Its totient is φ = 452288000.

The previous prime is 1375086421. The next prime is 1375086439. The reversal of 1375086432 is 2346805731.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1375086439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3590113 + ... + 3590495.

It is an arithmetic number, because the mean of its divisors is an integer number (38102400).

Almost surely, 21375086432 is an apocalyptic number.

1375086432 is a gapful number since it is divisible by the number (12) 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 1375086432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828915200).

1375086432 is an abundant number, since it is smaller than the sum of its proper divisors (2282743968).

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

1375086432 is a wasteful number, since it uses less digits than its factorization.

1375086432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 1375086432 is about 37082.1578660142. The cubic root of 1375086432 is about 1112.0133445598.

The spelling of 1375086432 in words is "one billion, three hundred seventy-five million, eighty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 149 251 298 383 447 502 596 753 766 894 1004 1149 1192 1506 1532 1788 2008 2298 2384 3012 3064 3576 4016 4596 4768 6024 6128 7152 8032 9192 12048 12256 14304 18384 24096 36768 37399 57067 74798 96133 112197 114134 149596 171201 192266 224394 228268 288399 299192 342402 384532 448788 456536 576798 598384 684804 769064 897576 913072 1153596 1196768 1369608 1538128 1795152 1826144 2307192 2739216 3076256 3590304 4614384 5478432 9228768 14323817 28647634 42971451 57295268 85942902 114590536 171885804 229181072 343771608 458362144 687543216 1375086432