Search a number
-
+
106039593 = 32117871361
BaseRepresentation
bin1100101001000…
…00100100101001
321101112100222100
412110200210221
5204121231333
614304444013
72425215222
oct624404451
9241470870
10106039593
1154947130
122b619609
1318c7982a
1410124249
159499213
hex6520929

106039593 has 24 divisors (see below), whose sum is σ = 167427936. Its totient is φ = 64137600.

The previous prime is 106039559. The next prime is 106039601. The reversal of 106039593 is 395930601.

106039593 is a `hidden beast` number, since 1 + 0 + 60 + 3 + 9 + 593 = 666.

It is not a de Polignac number, because 106039593 - 218 = 105777449 is a prime.

It is a super-2 number, since 2×1060395932 = 22488790567211298, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106039543) 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, 77233 + ... + 78593.

It is an arithmetic number, because the mean of its divisors is an integer number (6976164).

Almost surely, 2106039593 is an apocalyptic number.

It is an amenable number.

106039593 is a deficient number, since it is larger than the sum of its proper divisors (61388343).

106039593 is a wasteful number, since it uses less digits than its factorization.

106039593 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2165 (or 2162 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The square root of 106039593 is about 10297.5527675269. The cubic root of 106039593 is about 473.3212659204.

The spelling of 106039593 in words is "one hundred six million, thirty-nine thousand, five hundred ninety-three".

Divisors: 1 3 9 11 33 99 787 1361 2361 4083 7083 8657 12249 14971 25971 44913 77913 134739 1071107 3213321 9639963 11782177 35346531 106039593