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1386539136 = 27321963347
BaseRepresentation
bin101001010100100…
…1110100010000000
310120122000111010100
41102221032202000
510314423223021
6345330202400
746234250103
oct12251164200
93518014110
101386539136
11651735414
12328423400
13191347878
14d220a73a
1581ad6626
hex52a4e880

1386539136 has 96 divisors (see below), whose sum is σ = 4199972400. Its totient is φ = 437847552.

The previous prime is 1386539129. The next prime is 1386539173. The reversal of 1386539136 is 6319356831.

1386539136 is a `hidden beast` number, since 1 + 3 + 86 + 539 + 1 + 36 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1386539091 and 1386539100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9786 + ... + 53561.

Almost surely, 21386539136 is an apocalyptic number.

1386539136 is a gapful number since it is divisible by the number (16) 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 1386539136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2099986200).

1386539136 is an abundant number, since it is smaller than the sum of its proper divisors (2813433264).

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

1386539136 is a wasteful number, since it uses less digits than its factorization.

1386539136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63386 (or 63371 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 1386539136 is about 37236.2610367905. The cubic root of 1386539136 is about 1115.0920275011.

The spelling of 1386539136 in words is "one billion, three hundred eighty-six million, five hundred thirty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 288 304 342 384 456 576 608 684 912 1152 1216 1368 1824 2432 2736 3648 5472 7296 10944 21888 63347 126694 190041 253388 380082 506776 570123 760164 1013552 1140246 1203593 1520328 2027104 2280492 2407186 3040656 3610779 4054208 4560984 4814372 6081312 7221558 8108416 9121968 9628744 10832337 12162624 14443116 18243936 19257488 21664674 24325248 28886232 36487872 38514976 43329348 57772464 72975744 77029952 86658696 115544928 154059904 173317392 231089856 346634784 462179712 693269568 1386539136