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10195020 = 223251119271
BaseRepresentation
bin100110111001…
…000001001100
3201011221221100
4212321001030
510102220040
61002303100
7152441043
oct46710114
921157840
1010195020
115833740
1234b7a90
13215c574
1414d555a
15d65b30
hex9b904c

10195020 has 144 divisors (see below), whose sum is σ = 35642880. Its totient is φ = 2332800.

The previous prime is 10194997. The next prime is 10195021. The reversal of 10195020 is 2059101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10194984 and 10195002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10195021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37485 + ... + 37755.

It is an arithmetic number, because the mean of its divisors is an integer number (247520).

Almost surely, 210195020 is an apocalyptic number.

10195020 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 10195020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17821440).

10195020 is an abundant number, since it is smaller than the sum of its proper divisors (25447860).

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

10195020 is a wasteful number, since it uses less digits than its factorization.

10195020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 10195020 is about 3192.9641401056. The cubic root of 10195020 is about 216.8349882031.

The spelling of 10195020 in words is "ten million, one hundred ninety-five thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 19 20 22 30 33 36 38 44 45 55 57 60 66 76 90 95 99 110 114 132 165 171 180 190 198 209 220 228 271 285 330 342 380 396 418 495 542 570 627 660 684 813 836 855 990 1045 1084 1140 1254 1355 1626 1710 1881 1980 2090 2439 2508 2710 2981 3135 3252 3420 3762 4065 4180 4878 5149 5420 5962 6270 7524 8130 8943 9405 9756 10298 11924 12195 12540 14905 15447 16260 17886 18810 20596 24390 25745 26829 29810 30894 35772 37620 44715 46341 48780 51490 53658 56639 59620 61788 77235 89430 92682 102980 107316 113278 134145 154470 169917 178860 185364 226556 231705 268290 283195 308940 339834 463410 509751 536580 566390 679668 849585 926820 1019502 1132780 1699170 2039004 2548755 3398340 5097510 10195020