Search a number
-
+
14575974 = 2372379191
BaseRepresentation
bin110111100110…
…100101100110
31000102112110220
4313212211212
512212412344
61240225210
7234615360
oct67464546
930375426
1014575974
118256166
124a6b206
13303464a
141d15d30
15142dc19
hexde6966

14575974 has 64 divisors (see below), whose sum is σ = 35389440. Its totient is φ = 3912480.

The previous prime is 14575973. The next prime is 14575991. The reversal of 14575974 is 47957541.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14575973) 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, 76219 + ... + 76409.

It is an arithmetic number, because the mean of its divisors is an integer number (552960).

Almost surely, 214575974 is an apocalyptic number.

14575974 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14575974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17694720).

14575974 is an abundant number, since it is smaller than the sum of its proper divisors (20813466).

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

14575974 is a wasteful number, since it uses less digits than its factorization.

14575974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305.

The product of its digits is 176400, while the sum is 42.

The square root of 14575974 is about 3817.8493946200. The cubic root of 14575974 is about 244.2750973220.

The spelling of 14575974 in words is "fourteen million, five hundred seventy-five thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 79 138 158 161 191 237 322 382 474 483 553 573 966 1106 1146 1337 1659 1817 2674 3318 3634 4011 4393 5451 8022 8786 10902 12719 13179 15089 25438 26358 30178 30751 38157 45267 61502 76314 90534 92253 105623 184506 211246 316869 347047 633738 694094 1041141 2082282 2429329 4858658 7287987 14575974