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102268350 = 232522341241
BaseRepresentation
bin1100001100001…
…11110110111110
321010102202210200
412012013312332
5202140041400
614051544330
72351160312
oct606076676
9233382720
10102268350
11528007a8
122a2bb0a6
1318259122
14d821b42
158ea1b00
hex6187dbe

102268350 has 144 divisors (see below), whose sum is σ = 294918624. Its totient is φ = 25344000.

The previous prime is 102268303. The next prime is 102268351. The reversal of 102268350 is 53862201.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102268351) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 424230 + ... + 424470.

It is an arithmetic number, because the mean of its divisors is an integer number (2048046).

Almost surely, 2102268350 is an apocalyptic number.

102268350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102268350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147459312).

102268350 is an abundant number, since it is smaller than the sum of its proper divisors (192650274).

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

102268350 is a wasteful number, since it uses less digits than its factorization.

102268350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 102268350 is about 10112.7815164771. The cubic root of 102268350 is about 467.6422589362.

The spelling of 102268350 in words is "one hundred two million, two hundred sixty-eight thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 23 25 30 41 45 46 50 69 75 82 90 115 123 138 150 205 207 225 230 241 246 345 369 410 414 450 482 575 615 690 723 738 943 1025 1035 1150 1205 1230 1446 1725 1845 1886 2050 2070 2169 2410 2829 3075 3450 3615 3690 4338 4715 5175 5543 5658 6025 6150 7230 8487 9225 9430 9881 10350 10845 11086 12050 14145 16629 16974 18075 18450 19762 21690 23575 27715 28290 29643 33258 36150 42435 47150 49405 49887 54225 55430 59286 70725 83145 84870 88929 98810 99774 108450 138575 141450 148215 166290 177858 212175 227263 247025 249435 277150 296430 415725 424350 444645 454526 494050 498870 681789 741075 831450 889290 1136315 1247175 1363578 1482150 2045367 2223225 2272630 2494350 3408945 4090734 4446450 5681575 6817890 10226835 11363150 17044725 20453670 34089450 51134175 102268350