Search a number
-
+
101244160 = 2851923181
BaseRepresentation
bin1100000100011…
…01110100000000
321001111201212201
412002031310000
5201404303120
614014002544
72336363323
oct602156400
9231451781
10101244160
1152171266
1229aa6454
1317c8abb4
14d6367ba
158d4d40a
hex608dd00

101244160 has 144 divisors (see below), whose sum is σ = 267845760. Its totient is φ = 36495360.

The previous prime is 101244139. The next prime is 101244161. The reversal of 101244160 is 61442101.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101244161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 559270 + ... + 559450.

It is an arithmetic number, because the mean of its divisors is an integer number (1860040).

Almost surely, 2101244160 is an apocalyptic number.

101244160 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 101244160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133922880).

101244160 is an abundant number, since it is smaller than the sum of its proper divisors (166601600).

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

101244160 is a wasteful number, since it uses less digits than its factorization.

101244160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 101244160 is about 10062.0157026314. The cubic root of 101244160 is about 466.0759146157.

Adding to 101244160 its reverse (61442101), we get a palindrome (162686261).

The spelling of 101244160 in words is "one hundred one million, two hundred forty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 23 32 38 40 46 64 76 80 92 95 115 128 152 160 181 184 190 230 256 304 320 362 368 380 437 460 608 640 724 736 760 874 905 920 1216 1280 1448 1472 1520 1748 1810 1840 2185 2432 2896 2944 3040 3439 3496 3620 3680 4163 4370 4864 5792 5888 6080 6878 6992 7240 7360 8326 8740 11584 12160 13756 13984 14480 14720 16652 17195 17480 20815 23168 24320 27512 27968 28960 29440 33304 34390 34960 41630 46336 55024 55936 57920 66608 68780 69920 79097 83260 110048 111872 115840 133216 137560 139840 158194 166520 220096 231680 266432 275120 279680 316388 333040 395485 440192 532864 550240 559360 632776 666080 790970 880384 1065728 1100480 1265552 1332160 1581940 2200960 2531104 2664320 3163880 4401920 5062208 5328640 6327760 10124416 12655520 20248832 25311040 50622080 101244160