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19911920 = 245731237
BaseRepresentation
bin100101111110…
…1010011110000
31101110122000112
41023331103300
520044140140
61550440452
7331151150
oct113752360
941418015
1019911920
1110270136
126803128
134182302
142904760
151b34c65
hex12fd4f0

19911920 has 120 divisors (see below), whose sum is σ = 56148192. Its totient is φ = 6428160.

The previous prime is 19911919. The next prime is 19911923. The reversal of 19911920 is 2911991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19911923) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 538142 + ... + 538178.

Almost surely, 219911920 is an apocalyptic number.

19911920 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 19911920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28074096).

19911920 is an abundant number, since it is smaller than the sum of its proper divisors (36236272).

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

19911920 is a wasteful number, since it uses less digits than its factorization.

19911920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 32.

The square root of 19911920 is about 4462.2774454308. The cubic root of 19911920 is about 271.0426987544.

The spelling of 19911920 in words is "nineteen million, nine hundred eleven thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 37 40 56 62 70 74 80 112 124 140 148 155 185 217 248 259 280 296 310 370 434 496 518 560 592 620 740 868 961 1036 1085 1147 1240 1295 1480 1736 1922 2072 2170 2294 2480 2590 2960 3472 3844 4144 4340 4588 4805 5180 5735 6727 7688 8029 8680 9176 9610 10360 11470 13454 15376 16058 17360 18352 19220 20720 22940 26908 32116 33635 35557 38440 40145 45880 53816 64232 67270 71114 76880 80290 91760 107632 128464 134540 142228 160580 177785 248899 269080 284456 321160 355570 497798 538160 568912 642320 711140 995596 1244495 1422280 1991192 2488990 2844560 3982384 4977980 9955960 19911920