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102323000 = 23531317463
BaseRepresentation
bin1100001100101…
…01001100111000
321010112112202202
412012111030320
5202143314000
614053045332
72351505533
oct606251470
9233475682
10102323000
115283886a
122a326848
1318277c70
14d837a1a
158eb2dd5
hex6195338

102323000 has 128 divisors (see below), whose sum is σ = 273611520. Its totient is φ = 35481600.

The previous prime is 102322993. The next prime is 102323041. The reversal of 102323000 is 323201.

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, 220769 + ... + 221231.

It is an arithmetic number, because the mean of its divisors is an integer number (2137590).

Almost surely, 2102323000 is an apocalyptic number.

102323000 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 102323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136805760).

102323000 is an abundant number, since it is smaller than the sum of its proper divisors (171288520).

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

102323000 is a wasteful number, since it uses less digits than its factorization.

102323000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 102323000 is about 10115.4831817368. The cubic root of 102323000 is about 467.7255434144.

Adding to 102323000 its reverse (323201), we get a palindrome (102646201).

The spelling of 102323000 in words is "one hundred two million, three hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 13 17 20 25 26 34 40 50 52 65 68 85 100 104 125 130 136 170 200 221 250 260 325 340 425 442 463 500 520 650 680 850 884 926 1000 1105 1300 1625 1700 1768 1852 2125 2210 2315 2600 3250 3400 3704 4250 4420 4630 5525 6019 6500 7871 8500 8840 9260 11050 11575 12038 13000 15742 17000 18520 22100 23150 24076 27625 30095 31484 39355 44200 46300 48152 55250 57875 60190 62968 78710 92600 102323 110500 115750 120380 150475 157420 196775 204646 221000 231500 240760 300950 314840 393550 409292 463000 511615 601900 752375 787100 818584 983875 1023230 1203800 1504750 1574200 1967750 2046460 2558075 3009500 3935500 4092920 5116150 6019000 7871000 10232300 12790375 20464600 25580750 51161500 102323000