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1065730048 = 214292243
BaseRepresentation
bin111111100001011…
…100000000000000
32202021100200210021
4333201130000000
54140311330143
6253430143224
735260361455
oct7741340000
92667320707
101065730048
114a7638839
12258ab1b14
1313ca422c6
14a177b82c
1563866ced
hex3f85c000

1065730048 has 60 divisors (see below), whose sum is σ = 2205874440. Its totient is φ = 514260992.

The previous prime is 1065730037. The next prime is 1065730049. The reversal of 1065730048 is 8400375601.

It is a super-2 number, since 2×10657300482 = 2271561070420164608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1065729995 and 1065730022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1065730049) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 474015 + ... + 476257.

It is an arithmetic number, because the mean of its divisors is an integer number (36764574).

Almost surely, 21065730048 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 1065730048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102937220).

1065730048 is an abundant number, since it is smaller than the sum of its proper divisors (1140144392).

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

1065730048 is an frugal number, since it uses more digits than its factorization.

1065730048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2300 (or 2274 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 1065730048 is about 32645.5211016764. The cubic root of 1065730048 is about 1021.4467640668.

The spelling of 1065730048 in words is "one billion, sixty-five million, seven hundred thirty thousand, forty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 928 1024 1856 2048 2243 3712 4096 4486 7424 8192 8972 14848 16384 17944 29696 35888 59392 65047 71776 118784 130094 143552 237568 260188 287104 475136 520376 574208 1040752 1148416 2081504 2296832 4163008 4593664 8326016 9187328 16652032 18374656 33304064 36749312 66608128 133216256 266432512 532865024 1065730048