Search a number
-
+
106693952 = 268391987
BaseRepresentation
bin1100101110000…
…00010101000000
321102202121120212
412113000111000
5204303201302
614330453252
72433612041
oct627002500
9242677525
10106693952
1155253822
122b894228
1319148621
14102548c8
159578052
hex65c0540

106693952 has 28 divisors (see below), whose sum is σ = 212079840. Its totient is φ = 53256576.

The previous prime is 106693933. The next prime is 106693957. The reversal of 106693952 is 259396601.

It is a super-2 number, since 2×1066939522 = 22767198786756608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106693957) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52703 + ... + 54689.

It is an arithmetic number, because the mean of its divisors is an integer number (7574280).

Almost surely, 2106693952 is an apocalyptic number.

It is an amenable number.

106693952 is a deficient number, since it is larger than the sum of its proper divisors (105385888).

106693952 is an equidigital number, since it uses as much as digits as its factorization.

106693952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2838 (or 2828 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 41.

The square root of 106693952 is about 10329.2764509427. The cubic root of 106693952 is about 474.2928750759.

The spelling of 106693952 in words is "one hundred six million, six hundred ninety-three thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 839 1678 1987 3356 3974 6712 7948 13424 15896 26848 31792 53696 63584 127168 1667093 3334186 6668372 13336744 26673488 53346976 106693952