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102423200 = 255211103113
BaseRepresentation
bin1100001101011…
…01101010100000
321010201122012212
412012231222200
5202210020300
614055141252
72352403625
oct606555240
9233648185
10102423200
11528a7080
122a374828
13182b1759
14d86234c
158ed2935
hex61adaa0

102423200 has 144 divisors (see below), whose sum is σ = 277857216. Its totient is φ = 36556800.

The previous prime is 102423187. The next prime is 102423203. The reversal of 102423200 is 2324201.

It is not an unprimeable number, because it can be changed into a prime (102423203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 906344 + ... + 906456.

It is an arithmetic number, because the mean of its divisors is an integer number (1929564).

Almost surely, 2102423200 is an apocalyptic number.

102423200 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 102423200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138928608).

102423200 is an abundant number, since it is smaller than the sum of its proper divisors (175434016).

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

102423200 is a wasteful number, since it uses less digits than its factorization.

102423200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 102423200 is about 10120.4347732694. The cubic root of 102423200 is about 467.8781673271.

Adding to 102423200 its reverse (2324201), we get a palindrome (104747401).

The spelling of 102423200 in words is "one hundred two million, four hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 103 110 113 160 176 200 206 220 226 275 352 400 412 440 452 515 550 565 800 824 880 904 1030 1100 1130 1133 1243 1648 1760 1808 2060 2200 2260 2266 2486 2575 2825 3296 3616 4120 4400 4520 4532 4972 5150 5650 5665 6215 8240 8800 9040 9064 9944 10300 11300 11330 11639 12430 16480 18080 18128 19888 20600 22600 22660 23278 24860 28325 31075 36256 39776 41200 45200 45320 46556 49720 56650 58195 62150 82400 90400 90640 93112 99440 113300 116390 124300 128029 181280 186224 198880 226600 232780 248600 256058 290975 372448 453200 465560 497200 512116 581950 640145 906400 931120 994400 1024232 1163900 1280290 1862240 2048464 2327800 2560580 3200725 4096928 4655600 5121160 6401450 9311200 10242320 12802900 20484640 25605800 51211600 102423200