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13530704 = 2411229241
BaseRepresentation
bin110011100111…
…011001010000
3221110102122012
4303213121100
511430440304
61202002052
7223003055
oct63473120
927412565
1013530704
117701900
124646328
132a59945
141b2302c
1512c416e
hexce7650

13530704 has 60 divisors (see below), whose sum is σ = 29932980. Its totient is φ = 5913600.

The previous prime is 13530701. The next prime is 13530709. The reversal of 13530704 is 40703531.

It is a happy number.

13530704 is digitally balanced in base 2, because in such base 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 8690704 + 4840000 = 2948^2 + 2200^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13530704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13530701) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56024 + ... + 56264.

It is an arithmetic number, because the mean of its divisors is an integer number (498883).

Almost surely, 213530704 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 13530704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14966490).

13530704 is an abundant number, since it is smaller than the sum of its proper divisors (16402276).

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

13530704 is a wasteful number, since it uses less digits than its factorization.

13530704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 13530704 is about 3678.4105263007. The cubic root of 13530704 is about 238.2905380097.

The spelling of 13530704 in words is "thirteen million, five hundred thirty thousand, seven hundred four".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 121 176 232 241 242 319 464 482 484 638 964 968 1276 1928 1936 2552 2651 3509 3856 5104 5302 6989 7018 10604 13978 14036 21208 27956 28072 29161 42416 55912 56144 58322 76879 111824 116644 153758 233288 307516 466576 615032 845669 1230064 1691338 3382676 6765352 13530704