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103250680 = 23513238997
BaseRepresentation
bin1100010011101…
…11101011111000
321012021200022021
412021313223320
5202413010210
614125004224
72362421251
oct611675370
9235250267
10103250680
1153311845
122a6b3674
13185112a0
14d9d9b28
1590e7bda
hex6277af8

103250680 has 128 divisors (see below), whose sum is σ = 266716800. Its totient is φ = 35684352.

The previous prime is 103250659. The next prime is 103250687. The reversal of 103250680 is 86052301.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103250687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1064392 + ... + 1064488.

It is an arithmetic number, because the mean of its divisors is an integer number (2083725).

Almost surely, 2103250680 is an apocalyptic number.

103250680 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 103250680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133358400).

103250680 is an abundant number, since it is smaller than the sum of its proper divisors (163466120).

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

103250680 is a wasteful number, since it uses less digits than its factorization.

103250680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 103250680 is about 10161.2341770082. The cubic root of 103250680 is about 469.1347897048.

The spelling of 103250680 in words is "one hundred three million, two hundred fifty thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 23 26 40 46 52 65 89 92 97 104 115 130 178 184 194 230 260 299 356 388 445 460 485 520 598 712 776 890 920 970 1157 1196 1261 1495 1780 1940 2047 2231 2314 2392 2522 2990 3560 3880 4094 4462 4628 5044 5785 5980 6305 8188 8633 8924 9256 10088 10235 11155 11570 11960 12610 16376 17266 17848 20470 22310 23140 25220 26611 29003 34532 40940 43165 44620 46280 50440 53222 58006 69064 81880 86330 89240 106444 112229 116012 133055 145015 172660 198559 212888 224458 232024 266110 290030 345320 397118 448916 532220 561145 580060 794236 897832 992795 1064440 1122290 1160120 1588472 1985590 2244580 2581267 3971180 4489160 5162534 7942360 10325068 12906335 20650136 25812670 51625340 103250680