Search a number
-
+
106712250 = 2353263541
BaseRepresentation
bin1100101110001…
…00110010111010
321102210112200120
412113010302322
5204304243000
614331114110
72434016301
oct627046272
9242715616
10106712250
1155266547
122b8a2936
1319153a58
141025b438
15957d6a0
hex65c4cba

106712250 has 64 divisors (see below), whose sum is σ = 267860736. Its totient is φ = 28296000.

The previous prime is 106712237. The next prime is 106712251. The reversal of 106712250 is 52217601.

It is a super-2 number, since 2×1067122502 = 22775008600125000, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 106712250.

It is not an unprimeable number, because it can be changed into a prime (106712251) 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, 196980 + ... + 197520.

It is an arithmetic number, because the mean of its divisors is an integer number (4185324).

Almost surely, 2106712250 is an apocalyptic number.

106712250 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 106712250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133930368).

106712250 is an abundant number, since it is smaller than the sum of its proper divisors (161148486).

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

106712250 is a wasteful number, since it uses less digits than its factorization.

106712250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 106712250 is about 10330.1621478077. The cubic root of 106712250 is about 474.3199872498.

Adding to 106712250 its reverse (52217601), we get a palindrome (158929851).

It can be divided in two parts, 10671 and 2250, that added together give a palindrome (12921).

The spelling of 106712250 in words is "one hundred six million, seven hundred twelve thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 125 150 250 263 375 526 541 750 789 1082 1315 1578 1623 2630 2705 3246 3945 5410 6575 7890 8115 13150 13525 16230 19725 27050 32875 39450 40575 65750 67625 81150 98625 135250 142283 197250 202875 284566 405750 426849 711415 853698 1422830 2134245 3557075 4268490 7114150 10671225 17785375 21342450 35570750 53356125 106712250