Search a number
-
+
16952430 = 23511471093
BaseRepresentation
bin100000010101…
…0110001101110
31011220021100210
41000222301232
513314434210
61403203250
7264043665
oct100526156
934807323
1016952430
119629680
125816526
133687231
142373ddc
15174ce20
hex102ac6e

16952430 has 64 divisors (see below), whose sum is σ = 45370368. Its totient is φ = 4018560.

The previous prime is 16952423. The next prime is 16952437. The reversal of 16952430 is 3425961.

It is an interprime number because it is at equal distance from previous prime (16952423) and next prime (16952437).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16952437) 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 31 ways as a sum of consecutive naturals, for example, 14964 + ... + 16056.

It is an arithmetic number, because the mean of its divisors is an integer number (708912).

Almost surely, 216952430 is an apocalyptic number.

16952430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16952430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22685184).

16952430 is an abundant number, since it is smaller than the sum of its proper divisors (28417938).

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

16952430 is a wasteful number, since it uses less digits than its factorization.

16952430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161.

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 16952430 is about 4117.3328745682. The cubic root of 16952430 is about 256.8880999825. Note that the first 3 decimals are identical.

The spelling of 16952430 in words is "sixteen million, nine hundred fifty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 47 55 66 94 110 141 165 235 282 330 470 517 705 1034 1093 1410 1551 2186 2585 3102 3279 5170 5465 6558 7755 10930 12023 15510 16395 24046 32790 36069 51371 60115 72138 102742 120230 154113 180345 256855 308226 360690 513710 565081 770565 1130162 1541130 1695243 2825405 3390486 5650810 8476215 16952430