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192985380 = 223257971579
BaseRepresentation
bin10111000000010…
…11100100100100
3111110010200011200
423200023210210
5343401013010
631052202500
74532230410
oct1340134444
9443120150
10192985380
1199a31855
1254769430
1330c9c543
141b8b7d40
1511e20cc0
hexb80b924

192985380 has 144 divisors (see below), whose sum is σ = 676341120. Its totient is φ = 43628544.

The previous prime is 192985379. The next prime is 192985391. The reversal of 192985380 is 83589291.

It is a happy number.

192985380 is a `hidden beast` number, since 192 + 9 + 85 + 380 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 121431 + ... + 123009.

Almost surely, 2192985380 is an apocalyptic number.

192985380 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 192985380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338170560).

192985380 is an abundant number, since it is smaller than the sum of its proper divisors (483355740).

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

192985380 is a wasteful number, since it uses less digits than its factorization.

192985380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1698 (or 1693 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 192985380 is about 13891.9177941708. The cubic root of 192985380 is about 577.8850639309.

The spelling of 192985380 in words is "one hundred ninety-two million, nine hundred eighty-five thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 97 105 126 140 180 194 210 252 291 315 388 420 485 582 630 679 873 970 1164 1260 1358 1455 1579 1746 1940 2037 2716 2910 3158 3395 3492 4074 4365 4737 5820 6111 6316 6790 7895 8148 8730 9474 10185 11053 12222 13580 14211 15790 17460 18948 20370 22106 23685 24444 28422 30555 31580 33159 40740 44212 47370 55265 56844 61110 66318 71055 94740 99477 110530 122220 132636 142110 153163 165795 198954 221060 284220 306326 331590 397908 459489 497385 612652 663180 765815 918978 994770 1072141 1378467 1531630 1837956 1989540 2144282 2297445 2756934 3063260 3216423 4288564 4594890 5360705 5513868 6432846 6892335 9189780 9649269 10721410 12865692 13784670 16082115 19298538 21442820 27569340 32164230 38597076 48246345 64328460 96492690 192985380