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1355300672 = 26112175013
BaseRepresentation
bin101000011001000…
…0011111101000000
310111110020102000012
41100302003331000
510233424110142
6342252444052
745404602625
oct12062037500
93443212005
101355300672
11636039500
12319a79628
13187a2ac7b
14cbdd834c
157deb5882
hex50c83f40

1355300672 has 42 divisors (see below), whose sum is σ = 2956161474. Its totient is φ = 616042240.

The previous prime is 1355300671. The next prime is 1355300689. The reversal of 1355300672 is 2760035531.

It can be written as a sum of positive squares in only one way, i.e., 1353062656 + 2238016 = 36784^2 + 1496^2 .

It is a super-3 number, since 3×13553006723 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1355300671) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 79763 + ... + 95250.

It is an arithmetic number, because the mean of its divisors is an integer number (70384797).

Almost surely, 21355300672 is an apocalyptic number.

It is an amenable number.

1355300672 is an abundant number, since it is smaller than the sum of its proper divisors (1600860802).

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

1355300672 is a wasteful number, since it uses less digits than its factorization.

1355300672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175047 (or 175026 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 32.

The square root of 1355300672 is about 36814.4084836359. The cubic root of 1355300672 is about 1106.6540673716.

The spelling of 1355300672 in words is "one billion, three hundred fifty-five million, three hundred thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 3872 7744 175013 350026 700052 1400104 1925143 2800208 3850286 5600416 7700572 11200832 15401144 21176573 30802288 42353146 61604576 84706292 123209152 169412584 338825168 677650336 1355300672