Search a number
-
+
1375713504 = 253311144751
BaseRepresentation
bin101000111111111…
…1011100011100000
310112212122111011000
41101333323203200
510304140313004
6344302152000
746043241354
oct12177734340
93485574130
101375713504
11646610a10
12324882600
1318c027279
14d09cd464
1580b98c39
hex51ffb8e0

1375713504 has 96 divisors (see below), whose sum is σ = 4377300480. Its totient is φ = 416880000.

The previous prime is 1375713503. The next prime is 1375713509. The reversal of 1375713504 is 4053175731.

1375713504 is a `hidden beast` number, since 1 + 37 + 571 + 3 + 50 + 4 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1375713503) 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, 62872 + ... + 81879.

It is an arithmetic number, because the mean of its divisors is an integer number (45596880).

Almost surely, 21375713504 is an apocalyptic number.

It is an amenable number.

1375713504 is an abundant number, since it is smaller than the sum of its proper divisors (3001586976).

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

1375713504 is a wasteful number, since it uses less digits than its factorization.

1375713504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144781 (or 144767 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 1375713504 is about 37090.6120736771. The cubic root of 1375713504 is about 1112.1823536842.

It can be divided in two parts, 13757 and 13504, that added together give a triangular number (27261 = T233).

The spelling of 1375713504 in words is "one billion, three hundred seventy-five million, seven hundred thirteen thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 9504 144751 289502 434253 579004 868506 1158008 1302759 1592261 1737012 2316016 2605518 3184522 3474024 3908277 4632032 4776783 5211036 6369044 6948048 7816554 9553566 10422072 12738088 13896096 14330349 15633108 19107132 20844144 25476176 28660698 31266216 38214264 41688288 42991047 50952352 57321396 62532432 76428528 85982094 114642792 125064864 152857056 171964188 229285584 343928376 458571168 687856752 1375713504