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195046920 = 23335593061
BaseRepresentation
bin10111010000000…
…10111000001000
3111121000102002000
423220002320020
5344413000140
631204311000
74555604625
oct1350027010
9447012060
10195046920
11a010a702
12553a2460
13315419a3
141bc9334c
15121cba30
hexba02e08

195046920 has 128 divisors (see below), whose sum is σ = 661392000. Its totient is φ = 51114240.

The previous prime is 195046903. The next prime is 195046939. The reversal of 195046920 is 29640591.

195046920 is a `hidden beast` number, since 195 + 0 + 469 + 2 + 0 = 666.

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

It is a congruent number.

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, 62190 + ... + 65250.

It is an arithmetic number, because the mean of its divisors is an integer number (5167125).

Almost surely, 2195046920 is an apocalyptic number.

195046920 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 195046920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330696000).

195046920 is an abundant number, since it is smaller than the sum of its proper divisors (466345080).

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

195046920 is a wasteful number, since it uses less digits than its factorization.

195046920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3140 (or 3130 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 195046920 is about 13965.9199482168. The cubic root of 195046920 is about 579.9355061066.

The spelling of 195046920 in words is "one hundred ninety-five million, forty-six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 59 60 72 90 108 118 120 135 177 180 216 236 270 295 354 360 472 531 540 590 708 885 1062 1080 1180 1416 1593 1770 2124 2360 2655 3061 3186 3540 4248 5310 6122 6372 7080 7965 9183 10620 12244 12744 15305 15930 18366 21240 24488 27549 30610 31860 36732 45915 55098 61220 63720 73464 82647 91830 110196 122440 137745 165294 180599 183660 220392 275490 330588 361198 367320 413235 541797 550980 661176 722396 826470 902995 1083594 1101960 1444792 1625391 1652940 1805990 2167188 2708985 3250782 3305880 3611980 4334376 4876173 5417970 6501564 7223960 8126955 9752346 10835940 13003128 16253910 19504692 21671880 24380865 32507820 39009384 48761730 65015640 97523460 195046920