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1072948365 = 32523843297
BaseRepresentation
bin111111111100111…
…110010010001101
32202202221102110100
4333330332102031
54144133321430
6254245001313
735405624226
oct7774762215
92682842410
101072948365
11500718a95
1225b3b3239
1314139b9b8
14a26da24d
15642e0960
hex3ff3e48d

1072948365 has 12 divisors (see below), whose sum is σ = 1859777244. Its totient is φ = 572239104.

The previous prime is 1072948343. The next prime is 1072948381. The reversal of 1072948365 is 5638492701.

1072948365 is a `hidden beast` number, since 107 + 2 + 9 + 483 + 65 = 666.

1072948365 is digitally balanced in base 6 and base 10, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 115541001 + 957407364 = 10749^2 + 30942^2 .

It is not a de Polignac number, because 1072948365 - 28 = 1072948109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 23843297 = 1072948365 / (1 + 0 + 7 + 2 + 9 + 4 + 8 + 3 + 6 + 5).

1072948365 is strictly pandigital in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 1072948365.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11921604 + ... + 11921693.

It is an arithmetic number, because the mean of its divisors is an integer number (154981437).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1072948365 = 2145896730, but 3⋅1072948365 = 3218845095 is not.

Almost surely, 21072948365 is an apocalyptic number.

1072948365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1072948365 is a deficient number, since it is larger than the sum of its proper divisors (786828879).

1072948365 is a wasteful number, since it uses less digits than its factorization.

1072948365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23843308 (or 23843305 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1072948365 is about 32755.8905389550. The cubic root of 1072948365 is about 1023.7477040206.

The spelling of 1072948365 in words is "one billion, seventy-two million, nine hundred forty-eight thousand, three hundred sixty-five".

Divisors: 1 3 5 9 15 45 23843297 71529891 119216485 214589673 357649455 1072948365