Search a number
-
+
1381208544 = 253314910729
BaseRepresentation
bin101001001010011…
…1001000111100000
310120020222122221000
41102110321013200
510312042133134
6345020032000
746141036032
oct12224710740
93506878830
101381208544
11649724471
12326692600
131901cc481
14d161dc52
15813d1e99
hex525391e0

1381208544 has 96 divisors (see below), whose sum is σ = 4055940000. Its totient is φ = 457270272.

The previous prime is 1381208539. The next prime is 1381208611. The reversal of 1381208544 is 4458021831.

1381208544 is a `hidden beast` number, since 13 + 81 + 20 + 8 + 544 = 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 junction number, because it is equal to n+sod(n) for n = 1381208499 and 1381208508.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 123372 + ... + 134100.

It is an arithmetic number, because the mean of its divisors is an integer number (42249375).

Almost surely, 21381208544 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 1381208544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2027970000).

1381208544 is an abundant number, since it is smaller than the sum of its proper divisors (2674731456).

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

1381208544 is a wasteful number, since it uses less digits than its factorization.

1381208544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10897 (or 10883 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1381208544 is about 37164.6141376444. The cubic root of 1381208544 is about 1113.6611905288.

The spelling of 1381208544 in words is "one billion, three hundred eighty-one million, two hundred eight thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 149 216 288 298 432 447 596 864 894 1192 1341 1788 2384 2682 3576 4023 4768 5364 7152 8046 10728 10729 14304 16092 21456 21458 32184 32187 42912 42916 64368 64374 85832 96561 128736 128748 171664 193122 257496 289683 343328 386244 514992 579366 772488 1029984 1158732 1544976 1598621 2317464 3089952 3197242 4634928 4795863 6394484 9269856 9591726 12788968 14387589 19183452 25577936 28775178 38366904 43162767 51155872 57550356 76733808 86325534 115100712 153467616 172651068 230201424 345302136 460402848 690604272 1381208544