Search a number
-
+
106293060 = 2235521871
BaseRepresentation
bin1100101010111…
…10011101000100
321102000020200000
412111132131010
5204202334220
614314121300
72430322206
oct625363504
9242006600
10106293060
1154aaa605
122b720230
1319038003
141018c776
1594e9390
hex655e744

106293060 has 72 divisors (see below), whose sum is σ = 334379136. Its totient is φ = 28343520.

The previous prime is 106293059. The next prime is 106293067. The reversal of 106293060 is 60392601.

It is a happy number.

106293060 is a `hidden beast` number, since 1 + 0 + 629 + 30 + 6 + 0 = 666.

It is a super-2 number, since 2×1062930602 = 22596429208327200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (106293067) 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, 6076 + ... + 15795.

Almost surely, 2106293060 is an apocalyptic number.

106293060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106293060 is an abundant number, since it is smaller than the sum of its proper divisors (228086076).

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

106293060 is a wasteful number, since it uses less digits than its factorization.

106293060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21895 (or 21881 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 106293060 is about 10309.8525692660. The cubic root of 106293060 is about 473.6980932773.

It can be divided in two parts, 10629 and 3060, that added together give a square (13689 = 1172).

The spelling of 106293060 in words is "one hundred six million, two hundred ninety-three thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860 21871 43742 65613 87484 109355 131226 196839 218710 262452 328065 393678 437420 590517 656130 787356 984195 1181034 1312260 1771551 1968390 2362068 2952585 3543102 3936780 5314653 5905170 7086204 8857755 10629306 11810340 17715510 21258612 26573265 35431020 53146530 106293060