Search a number
-
+
106764396 = 22361157929
BaseRepresentation
bin1100101110100…
…01100001101100
321102220012012220
412113101201230
5204312430041
614332155340
72434324314
oct627214154
9242805186
10106764396
11552a1742
122b908b50
13191716cb
1410272444
15958dd66
hex65d186c

106764396 has 48 divisors (see below), whose sum is σ = 255087840. Its totient is φ = 34744320.

The previous prime is 106764389. The next prime is 106764397. The reversal of 106764396 is 693467601.

It is a super-2 number, since 2×1067643962 = 22797272506489632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106764397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114460 + ... + 115388.

It is an arithmetic number, because the mean of its divisors is an integer number (5314330).

Almost surely, 2106764396 is an apocalyptic number.

It is an amenable number.

106764396 is an abundant number, since it is smaller than the sum of its proper divisors (148323444).

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

106764396 is a wasteful number, since it uses less digits than its factorization.

106764396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 106764396 is about 10332.6858076688. The cubic root of 106764396 is about 474.3972350583.

The spelling of 106764396 in words is "one hundred six million, seven hundred sixty-four thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 12 61 122 157 183 244 314 366 471 628 732 929 942 1858 1884 2787 3716 5574 9577 11148 19154 28731 38308 56669 57462 113338 114924 145853 170007 226676 291706 340014 437559 583412 680028 875118 1750236 8897033 17794066 26691099 35588132 53382198 106764396