Search a number
-
+
1378763136 = 27321196843
BaseRepresentation
bin101001000101110…
…0100000110000000
310120002101102110100
41102023210012000
510310430410021
6344451402400
746111202412
oct12213440600
93502342410
101378763136
11648304173
123258b3400
1318c85439a
14d11849b2
158109c626
hex522e4180

1378763136 has 48 divisors (see below), whose sum is σ = 3967537860. Its totient is φ = 459587328.

The previous prime is 1378763107. The next prime is 1378763143. The reversal of 1378763136 is 6313678731.

It is a happy number.

1378763136 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 7 + 631 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 1378763091 and 1378763100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 597270 + ... + 599573.

Almost surely, 21378763136 is an apocalyptic number.

1378763136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1378763136 is an abundant number, since it is smaller than the sum of its proper divisors (2588774724).

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

1378763136 is a wasteful number, since it uses less digits than its factorization.

1378763136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196863 (or 1196848 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 1378763136 is about 37131.6998802910. The cubic root of 1378763136 is about 1113.0035623961.

The spelling of 1378763136 in words is "one billion, three hundred seventy-eight million, seven hundred sixty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1196843 2393686 3590529 4787372 7181058 9574744 10771587 14362116 19149488 21543174 28724232 38298976 43086348 57448464 76597952 86172696 114896928 153195904 172345392 229793856 344690784 459587712 689381568 1378763136