Search a number
-
+
103285273 = 71319314147
BaseRepresentation
bin1100010100000…
…00001000011001
321012100102202111
412022000020121
5202420112043
614125432321
72362624150
oct612001031
9235312674
10103285273
1153335833
122a70b6a1
1318523c60
14da08597
15910309d
hex6280219

103285273 has 64 divisors (see below), whose sum is σ = 144506880. Its totient is φ = 71539200.

The previous prime is 103285243. The next prime is 103285279. The reversal of 103285273 is 372582301.

It is a cyclic number.

It is not a de Polignac number, because 103285273 - 29 = 103284761 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (103285279) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2197536 + ... + 2197582.

It is an arithmetic number, because the mean of its divisors is an integer number (2257920).

Almost surely, 2103285273 is an apocalyptic number.

103285273 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

103285273 is a deficient number, since it is larger than the sum of its proper divisors (41221607).

103285273 is a wasteful number, since it uses less digits than its factorization.

103285273 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158.

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 103285273 is about 10162.9362390994. The cubic root of 103285273 is about 469.1871766647.

The spelling of 103285273 in words is "one hundred three million, two hundred eighty-five thousand, two hundred seventy-three".

Divisors: 1 7 13 19 31 41 47 91 133 217 247 287 329 403 533 589 611 779 893 1271 1457 1729 1927 2821 3731 4123 4277 5453 6251 7657 8897 10127 10199 11609 13489 16523 18941 24149 25051 27683 36613 53599 59737 70889 81263 115661 132587 169043 175357 193781 256291 313937 359879 418159 475969 776581 1135003 2197559 2519153 3331783 5436067 7945021 14755039 103285273