Search a number
-
+
107621748 = 223213229961
BaseRepresentation
bin1100110101000…
…10110101110100
321111111202021200
412122202311310
5210022343443
614402412500
72444525013
oct632426564
9244452250
10107621748
11558278a3
1230061130
13193b1a10
1410416a7a
1596acdd3
hex66a2d74

107621748 has 36 divisors (see below), whose sum is σ = 292971588. Its totient is φ = 33114240.

The previous prime is 107621741. The next prime is 107621749. The reversal of 107621748 is 847126701.

It can be written as a sum of positive squares in 2 ways, for example, as 52446564 + 55175184 = 7242^2 + 7428^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107621741) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114513 + ... + 115448.

Almost surely, 2107621748 is an apocalyptic number.

107621748 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

107621748 is an abundant number, since it is smaller than the sum of its proper divisors (185349840).

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

107621748 is a wasteful number, since it uses less digits than its factorization.

107621748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229984 (or 229979 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 107621748 is about 10374.0902251716. The cubic root of 107621748 is about 475.6637045095.

It can be divided in two parts, 107621 and 748, that multiplied together give a palindrome (80500508).

The spelling of 107621748 in words is "one hundred seven million, six hundred twenty-one thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 229961 459922 689883 919844 1379766 2069649 2759532 2989493 4139298 5978986 8278596 8968479 11957972 17936958 26905437 35873916 53810874 107621748