Search a number
-
+
192006912 = 2832937233
BaseRepresentation
bin10110111000111…
…00101100000000
3111101021221222010
423130130230000
5343123210122
631015212520
74521013626
oct1334345400
9441257863
10192006912
11994236a9
1254377140
1330a19076
141b701516
1511ccae0c
hexb71cb00

192006912 has 144 divisors (see below), whose sum is σ = 545257440. Its totient is φ = 59867136.

The previous prime is 192006907. The next prime is 192006917. The reversal of 192006912 is 219600291.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (192006907) and next prime (192006917).

It is a self number, because there is not a number n which added to its sum of digits gives 192006912.

It is not an unprimeable number, because it can be changed into a prime (192006917) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 823948 + ... + 824180.

It is an arithmetic number, because the mean of its divisors is an integer number (3786510).

Almost surely, 2192006912 is an apocalyptic number.

192006912 is a gapful number since it is divisible by the number (12) 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 192006912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272628720).

192006912 is an abundant number, since it is smaller than the sum of its proper divisors (353250528).

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

192006912 is a wasteful number, since it uses less digits than its factorization.

192006912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 192006912 is about 13856.6558736226. The cubic root of 192006912 is about 576.9067508378.

It can be divided in two parts, 19200 and 6912, that multiplied together give a square (132710400 = 115202).

The spelling of 192006912 in words is "one hundred ninety-two million, six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 37 48 58 64 74 87 96 111 116 128 148 174 192 222 232 233 256 296 348 384 444 464 466 592 696 699 768 888 928 932 1073 1184 1392 1398 1776 1856 1864 2146 2368 2784 2796 3219 3552 3712 3728 4292 4736 5568 5592 6438 6757 7104 7424 7456 8584 8621 9472 11136 11184 12876 13514 14208 14912 17168 17242 20271 22272 22368 25752 25863 27028 28416 29824 34336 34484 40542 44736 51504 51726 54056 59648 68672 68968 81084 89472 103008 103452 108112 137344 137936 162168 178944 206016 206904 216224 250009 274688 275872 324336 412032 413808 432448 500018 551744 648672 750027 824064 827616 864896 1000036 1103488 1297344 1500054 1655232 1729792 2000072 2206976 2594688 3000108 3310464 4000144 5189376 6000216 6620928 8000288 12000432 16000576 24000864 32001152 48001728 64002304 96003456 192006912