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194638920 = 233571391667
BaseRepresentation
bin10111001100111…
…11010001001000
3111120020200101220
423212133101020
5344311421140
631151442040
74552255260
oct1346372110
9446220356
10194638920
119a961113
1255226320
133142b078
141bbc87a0
151214abd0
hexb99f448

194638920 has 128 divisors (see below), whose sum is σ = 672537600. Its totient is φ = 44142336.

The previous prime is 194638919. The next prime is 194638943. The reversal of 194638920 is 29836491.

194638920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115927 + ... + 117593.

It is an arithmetic number, because the mean of its divisors is an integer number (5254200).

Almost surely, 2194638920 is an apocalyptic number.

194638920 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 194638920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336268800).

194638920 is an abundant number, since it is smaller than the sum of its proper divisors (477898680).

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

194638920 is a wasteful number, since it uses less digits than its factorization.

194638920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1827 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 194638920 is about 13951.3053152743. The cubic root of 194638920 is about 579.5308532814.

The spelling of 194638920 in words is "one hundred ninety-four million, six hundred thirty-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 139 140 168 210 278 280 417 420 556 695 834 840 973 1112 1390 1667 1668 1946 2085 2780 2919 3334 3336 3892 4170 4865 5001 5560 5838 6668 7784 8335 8340 9730 10002 11669 11676 13336 14595 16670 16680 19460 20004 23338 23352 25005 29190 33340 35007 38920 40008 46676 50010 58345 58380 66680 70014 93352 100020 116690 116760 140028 175035 200040 231713 233380 280056 350070 463426 466760 695139 700140 926852 1158565 1390278 1400280 1621991 1853704 2317130 2780556 3243982 3475695 4634260 4865973 5561112 6487964 6951390 8109955 9268520 9731946 12975928 13902780 16219910 19463892 24329865 27805560 32439820 38927784 48659730 64879640 97319460 194638920