Search a number
-
+
1357604768 = 251317191969
BaseRepresentation
bin101000011101011…
…0110011110100000
310111121120110122002
41100322312132200
510240021323033
6342414103132
745433310252
oct12072663640
93447513562
101357604768
11637372613
1231a7aaaa8
13188356940
14cc437cd2
157e2bd3e8
hex50eb67a0

1357604768 has 48 divisors (see below), whose sum is σ = 3047715720. Its totient is φ = 589725696.

The previous prime is 1357604767. The next prime is 1357604771. The reversal of 1357604768 is 8674067531.

It can be written as a sum of positive squares in 4 ways, for example, as 739187344 + 618417424 = 27188^2 + 24868^2 .

It is not an unprimeable number, because it can be changed into a prime (1357604761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88913 + ... + 103056.

Almost surely, 21357604768 is an apocalyptic number.

It is an amenable number.

1357604768 is an abundant number, since it is smaller than the sum of its proper divisors (1690110952).

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

1357604768 is a wasteful number, since it uses less digits than its factorization.

1357604768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192009 (or 192001 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 47.

The square root of 1357604768 is about 36845.6885944611. The cubic root of 1357604768 is about 1107.2808393898.

The spelling of 1357604768 in words is "one billion, three hundred fifty-seven million, six hundred four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 416 442 544 884 1768 3536 7072 191969 383938 767876 1535752 2495597 3071504 3263473 4991194 6143008 6526946 9982388 13053892 19964776 26107784 39929552 42425149 52215568 79859104 84850298 104431136 169700596 339401192 678802384 1357604768