Search a number
-
+
190024393320 = 23325709744493
BaseRepresentation
bin1011000011111001010…
…1100010001001101000
3200011111010102100201100
42300332111202021220
511103132221041240
6223143534121400
716504660456416
oct2607625421150
9604433370640
10190024393320
11736528a8263
12309b2950260
1314bc46c2a28
1492a92ac2b6
154e227d3e30
hex2c3e562268

190024393320 has 96 divisors (see below), whose sum is σ = 618451165800. Its totient is φ = 50601632256.

The previous prime is 190024393319. The next prime is 190024393333. The reversal of 190024393320 is 23393420091.

190024393320 is a `hidden beast` number, since 1 + 9 + 0 + 0 + 243 + 93 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 52562898756 + 137461494564 = 229266^2 + 370758^2 .

It is a super-2 number, since 2×1900243933202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117007 + ... + 627486.

Almost surely, 2190024393320 is an apocalyptic number.

190024393320 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 190024393320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309225582900).

190024393320 is an abundant number, since it is smaller than the sum of its proper divisors (428426772480).

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

190024393320 is a wasteful number, since it uses less digits than its factorization.

190024393320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745219 (or 745212 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 190024393320 in words is "one hundred ninety billion, twenty-four million, three hundred ninety-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 709 1418 2127 2836 3545 4254 5672 6381 7090 8508 10635 12762 14180 17016 21270 25524 28360 31905 42540 51048 63810 85080 127620 255240 744493 1488986 2233479 2977972 3722465 4466958 5955944 6700437 7444930 8933916 11167395 13400874 14889860 17867832 22334790 26801748 29779720 33502185 44669580 53603496 67004370 89339160 134008740 268017480 527845537 1055691074 1583536611 2111382148 2639227685 3167073222 4222764296 4750609833 5278455370 6334146444 7917683055 9501219666 10556910740 12668292888 15835366110 19002439332 21113821480 23753049165 31670732220 38004878664 47506098330 63341464440 95012196660 190024393320