Search a number
-
+
10197880 = 2357211243
BaseRepresentation
bin100110111001…
…101101111000
3201012002212021
4212321231320
510102313010
61002324224
7152452300
oct46715570
921162767
1010197880
115835900
1234b9674
132160964
1414d6600
15d668da
hex9b9b78

10197880 has 144 divisors (see below), whose sum is σ = 30020760. Its totient is φ = 3104640.

The previous prime is 10197857. The next prime is 10197893. The reversal of 10197880 is 8879101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 237139 + ... + 237181.

Almost surely, 210197880 is an apocalyptic number.

10197880 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 10197880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15010380).

10197880 is an abundant number, since it is smaller than the sum of its proper divisors (19822880).

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

10197880 is a wasteful number, since it uses less digits than its factorization.

10197880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 34.

The square root of 10197880 is about 3193.4119684125. The cubic root of 10197880 is about 216.8552624836.

The spelling of 10197880 in words is "ten million, one hundred ninety-seven thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 43 44 49 55 56 70 77 86 88 98 110 121 140 154 172 196 215 220 242 245 280 301 308 344 385 392 430 440 473 484 490 539 602 605 616 770 847 860 946 968 980 1078 1204 1210 1505 1540 1694 1720 1892 1960 2107 2156 2365 2408 2420 2695 3010 3080 3311 3388 3784 4214 4235 4312 4730 4840 5203 5390 5929 6020 6622 6776 8428 8470 9460 10406 10535 10780 11858 12040 13244 16555 16856 16940 18920 20812 21070 21560 23177 23716 26015 26488 29645 33110 33880 36421 41624 42140 46354 47432 52030 59290 66220 72842 84280 92708 104060 115885 118580 132440 145684 182105 185416 208120 231770 237160 254947 291368 364210 463540 509894 728420 927080 1019788 1274735 1456840 2039576 2549470 5098940 10197880