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20195880 = 2335316189
BaseRepresentation
bin100110100001…
…0101000101000
31102000001112120
41031002220220
520132232010
62000511240
7333443055
oct115025050
942001476
1020195880
1110444511
12691b520
134251633
14297a02c
151b8de70
hex1342a28

20195880 has 128 divisors (see below), whose sum is σ = 64281600. Its totient is φ = 5068800.

The previous prime is 20195873. The next prime is 20195887. The reversal of 20195880 is 8859102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20195873) and next prime (20195887).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20195887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226876 + ... + 226964.

It is an arithmetic number, because the mean of its divisors is an integer number (502200).

Almost surely, 220195880 is an apocalyptic number.

20195880 is a gapful number since it is divisible by the number (20) 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 20195880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32140800).

20195880 is an abundant number, since it is smaller than the sum of its proper divisors (44085720).

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

20195880 is a wasteful number, since it uses less digits than its factorization.

20195880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 20195880 is about 4493.9826434912. The cubic root of 20195880 is about 272.3250511306.

The spelling of 20195880 in words is "twenty million, one hundred ninety-five thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 61 62 89 93 120 122 124 155 178 183 186 244 248 267 305 310 356 366 372 445 465 488 534 610 620 712 732 744 890 915 930 1068 1220 1240 1335 1464 1780 1830 1860 1891 2136 2440 2670 2759 3560 3660 3720 3782 5340 5429 5518 5673 7320 7564 8277 9455 10680 10858 11036 11346 13795 15128 16287 16554 18910 21716 22072 22692 27145 27590 28365 32574 33108 37820 41385 43432 45384 54290 55180 56730 65148 66216 75640 81435 82770 108580 110360 113460 130296 162870 165540 168299 217160 226920 325740 331080 336598 504897 651480 673196 841495 1009794 1346392 1682990 2019588 2524485 3365980 4039176 5048970 6731960 10097940 20195880