Search a number
-
+
16142504 = 2372383151
BaseRepresentation
bin111101100101…
…000010101000
31010101010100112
4331211002220
513113030004
61333553452
7254131460
oct75450250
933333315
1016142504
119126114
1254a5888
1334626a1
142202ba0
15163ce6e
hexf650a8

16142504 has 64 divisors (see below), whose sum is σ = 36771840. Its totient is φ = 6494400.

The previous prime is 16142461. The next prime is 16142507. The reversal of 16142504 is 40524161.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 16142504.

It is not an unprimeable number, because it can be changed into a prime (16142507) 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 15 ways as a sum of consecutive naturals, for example, 106829 + ... + 106979.

It is an arithmetic number, because the mean of its divisors is an integer number (574560).

Almost surely, 216142504 is an apocalyptic number.

16142504 is a gapful number since it is divisible by the number (14) 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 16142504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18385920).

16142504 is an abundant number, since it is smaller than the sum of its proper divisors (20629336).

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

16142504 is a wasteful number, since it uses less digits than its factorization.

16142504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 16142504 is about 4017.7735127804. The cubic root of 16142504 is about 252.7300990441.

Adding to 16142504 its reverse (40524161), we get a palindrome (56666665).

The spelling of 16142504 in words is "sixteen million, one hundred forty-two thousand, five hundred four".

Divisors: 1 2 4 7 8 14 23 28 46 56 83 92 151 161 166 184 302 322 332 581 604 644 664 1057 1162 1208 1288 1909 2114 2324 3473 3818 4228 4648 6946 7636 8456 12533 13363 13892 15272 24311 25066 26726 27784 48622 50132 53452 87731 97244 100264 106904 175462 194488 288259 350924 576518 701848 1153036 2017813 2306072 4035626 8071252 16142504