Search a number
-
+
106571712 = 2631342697
BaseRepresentation
bin1100101101000…
…10011111000000
321102112101220110
412112202133000
5204240243322
614324111320
72432562462
oct626423700
9242471813
10106571712
115517a9a5
122b835540
1319104ab0
1410222132
159551c0c
hex65a27c0

106571712 has 56 divisors (see below), whose sum is σ = 303668176. Its totient is φ = 32790528.

The previous prime is 106571683. The next prime is 106571737. The reversal of 106571712 is 217175601.

It is a super-2 number, since 2×1065717122 = 22715059597221888, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106571712.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18853 + ... + 23844.

It is an arithmetic number, because the mean of its divisors is an integer number (5422646).

Almost surely, 2106571712 is an apocalyptic number.

106571712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106571712 is an abundant number, since it is smaller than the sum of its proper divisors (197096464).

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

106571712 is a wasteful number, since it uses less digits than its factorization.

106571712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42725 (or 42715 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 30.

The square root of 106571712 is about 10323.3575933414. The cubic root of 106571712 is about 474.1116723122. Note that the first 3 decimals are identical.

The spelling of 106571712 in words is "one hundred six million, five hundred seventy-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 42697 85394 128091 170788 256182 341576 512364 555061 683152 1024728 1110122 1366304 1665183 2049456 2220244 2732608 3330366 4098912 4440488 6660732 8197824 8880976 13321464 17761952 26642928 35523904 53285856 106571712