Search a number
-
+
102489840 = 24335232063
BaseRepresentation
bin1100001101111…
…01111011110000
321010212000122000
412012331323300
5202214133330
614100414000
72353102125
oct606757360
9233760560
10102489840
1152942152
122a3a7300
1318305b9b
14d87c74c
158ee7560
hex61bdef0

102489840 has 160 divisors (see below), whose sum is σ = 368547840. Its totient is φ = 26129664.

The previous prime is 102489839. The next prime is 102489853. The reversal of 102489840 is 48984201.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 102489795 and 102489804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48649 + ... + 50711.

It is an arithmetic number, because the mean of its divisors is an integer number (2303424).

Almost surely, 2102489840 is an apocalyptic number.

102489840 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 102489840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184273920).

102489840 is an abundant number, since it is smaller than the sum of its proper divisors (266058000).

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

102489840 is a wasteful number, since it uses less digits than its factorization.

102489840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2108 (or 2096 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 102489840 is about 10123.7265865886. The cubic root of 102489840 is about 467.9796177843.

The spelling of 102489840 in words is "one hundred two million, four hundred eighty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 27 30 36 40 45 46 48 54 60 69 72 80 90 92 108 115 120 135 138 144 180 184 207 216 230 240 270 276 345 360 368 414 432 460 540 552 621 690 720 828 920 1035 1080 1104 1242 1380 1656 1840 2063 2070 2160 2484 2760 3105 3312 4126 4140 4968 5520 6189 6210 8252 8280 9936 10315 12378 12420 16504 16560 18567 20630 24756 24840 30945 33008 37134 41260 47449 49512 49680 55701 61890 74268 82520 92835 94898 99024 111402 123780 142347 148536 165040 185670 189796 222804 237245 247560 278505 284694 297072 371340 379592 427041 445608 474490 495120 557010 569388 711735 742680 759184 854082 891216 948980 1114020 1138776 1281123 1423470 1485360 1708164 1897960 2135205 2228040 2277552 2562246 2846940 3416328 3795920 4270410 4456080 5124492 5693880 6405615 6832656 8540820 10248984 11387760 12811230 17081640 20497968 25622460 34163280 51244920 102489840