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13790500 = 225327581
BaseRepresentation
bin110100100110…
…110100100100
3221221122000021
4310212310210
512012244000
61211324524
7225134353
oct64466444
927848007
1013790500
11786a009
124750744
132b1ac79
141b8d99a
15132611a
hexd26d24

13790500 has 24 divisors (see below), whose sum is σ = 30119544. Its totient is φ = 5516000.

The previous prime is 13790471. The next prime is 13790509. The reversal of 13790500 is 509731.

It can be written as a sum of positive squares in 4 ways, for example, as 306916 + 13483584 = 554^2 + 3672^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (13790509) 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 7 ways as a sum of consecutive naturals, for example, 13291 + ... + 14290.

It is an arithmetic number, because the mean of its divisors is an integer number (1254981).

Almost surely, 213790500 is an apocalyptic number.

13790500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13790500 is an abundant number, since it is smaller than the sum of its proper divisors (16329044).

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

13790500 is a wasteful number, since it uses less digits than its factorization.

13790500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27600 (or 27588 counting only the distinct ones).

The product of its (nonzero) digits is 945, while the sum is 25.

The square root of 13790500 is about 3713.5562470495. The cubic root of 13790500 is about 239.8059774484.

The spelling of 13790500 in words is "thirteen million, seven hundred ninety thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 27581 55162 110324 137905 275810 551620 689525 1379050 2758100 3447625 6895250 13790500