Search a number
-
+
14609628 = 22321179467
BaseRepresentation
bin110111101110…
…110011011100
31000111020122100
4313232303130
512220002003
61241045100
7235115445
oct67566334
930436570
1014609628
118279480
124a86790
133046a67
141d242cc
151438ba3
hexdeecdc

14609628 has 72 divisors (see below), whose sum is σ = 40884480. Its totient is φ = 4361760.

The previous prime is 14609627. The next prime is 14609641. The reversal of 14609628 is 82690641.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14609592 and 14609601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14609627) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31051 + ... + 31517.

It is an arithmetic number, because the mean of its divisors is an integer number (567840).

Almost surely, 214609628 is an apocalyptic number.

14609628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14609628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20442240).

14609628 is an abundant number, since it is smaller than the sum of its proper divisors (26274852).

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

14609628 is a wasteful number, since it uses less digits than its factorization.

14609628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 14609628 is about 3822.2543086509. The cubic root of 14609628 is about 244.4629524707.

The spelling of 14609628 in words is "fourteen million, six hundred nine thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 79 99 132 158 198 237 316 396 467 474 711 869 934 948 1401 1422 1738 1868 2607 2802 2844 3476 4203 5137 5214 5604 7821 8406 10274 10428 15411 15642 16812 20548 30822 31284 36893 46233 61644 73786 92466 110679 147572 184932 221358 332037 405823 442716 664074 811646 1217469 1328148 1623292 2434938 3652407 4869876 7304814 14609628