Search a number
-
+
13872903 = 3113171191
BaseRepresentation
bin110100111010…
…111100000111
3222002211001020
4310322330013
512022413103
61213202223
7225626532
oct64727407
928084036
1013872903
117915a10
124790373
132b49625
141bb1a19
151340753
hexd3af07

13872903 has 32 divisors (see below), whose sum is σ = 21233664. Its totient is φ = 7980000.

The previous prime is 13872899. The next prime is 13872917. The reversal of 13872903 is 30927831.

It is not a de Polignac number, because 13872903 - 22 = 13872899 is a prime.

It is a super-3 number, since 3×138729033 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13872973) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72538 + ... + 72728.

It is an arithmetic number, because the mean of its divisors is an integer number (663552).

Almost surely, 213872903 is an apocalyptic number.

13872903 is a deficient number, since it is larger than the sum of its proper divisors (7360761).

13872903 is a wasteful number, since it uses less digits than its factorization.

13872903 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307.

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 13872903 is about 3724.6346129520. The cubic root of 13872903 is about 240.2826704142.

The spelling of 13872903 in words is "thirteen million, eight hundred seventy-two thousand, nine hundred three".

Divisors: 1 3 11 31 33 71 93 191 213 341 573 781 1023 2101 2201 2343 5921 6303 6603 13561 17763 24211 40683 65131 72633 149171 195393 420391 447513 1261173 4624301 13872903