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192689920 = 285292179
BaseRepresentation
bin10110111110000…
…11011100000000
3111102120122212201
423133003130000
5343312034140
631042002544
74526560123
oct1337033400
9442518781
10192689920
119984a875
1254646454
1330bc7c07
141b83c3ba
1511db349a
hexb7c3700

192689920 has 108 divisors (see below), whose sum is σ = 480687480. Its totient is φ = 74002432.

The previous prime is 192689899. The next prime is 192689933. The reversal of 192689920 is 29986291.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1076391 + ... + 1076569.

It is an arithmetic number, because the mean of its divisors is an integer number (4450810).

Almost surely, 2192689920 is an apocalyptic number.

192689920 is a gapful number since it is divisible by the number (10) 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 192689920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240343740).

192689920 is an abundant number, since it is smaller than the sum of its proper divisors (287997560).

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

192689920 is an equidigital number, since it uses as much as digits as its factorization.

192689920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 46.

The square root of 192689920 is about 13881.2794799327. The cubic root of 192689920 is about 577.5899999036.

The spelling of 192689920 in words is "one hundred ninety-two million, six hundred eighty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 179 232 256 290 320 358 464 580 640 716 841 895 928 1160 1280 1432 1682 1790 1856 2320 2864 3364 3580 3712 4205 4640 5191 5728 6728 7160 7424 8410 9280 10382 11456 13456 14320 16820 18560 20764 22912 25955 26912 28640 33640 37120 41528 45824 51910 53824 57280 67280 83056 103820 107648 114560 134560 150539 166112 207640 215296 229120 269120 301078 332224 415280 538240 602156 664448 752695 830560 1076480 1204312 1328896 1505390 1661120 2408624 3010780 3322240 4817248 6021560 6644480 9634496 12043120 19268992 24086240 38537984 48172480 96344960 192689920