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107487972 = 2234331753
BaseRepresentation
bin1100110100000…
…10001011100100
321111020221210000
412122002023210
5210004103342
614355501300
72443430004
oct632021344
9244227700
10107487972
1155746339
122bbb7830
1319365b67
14103c0004
15968344c
hex66822e4

107487972 has 30 divisors (see below), whose sum is σ = 280995638. Its totient is φ = 35829216.

The previous prime is 107487971. The next prime is 107487977. The reversal of 107487972 is 279784701.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 66194496 + 41293476 = 8136^2 + 6426^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107487971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 165553 + ... + 166200.

Almost surely, 2107487972 is an apocalyptic number.

107487972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107487972 is an abundant number, since it is smaller than the sum of its proper divisors (173507666).

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

107487972 is a wasteful number, since it uses less digits than its factorization.

107487972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331769 (or 331758 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The square root of 107487972 is about 10367.6406187715. The cubic root of 107487972 is about 475.4665362711.

The spelling of 107487972 in words is "one hundred seven million, four hundred eighty-seven thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 331753 663506 995259 1327012 1990518 2985777 3981036 5971554 8957331 11943108 17914662 26871993 35829324 53743986 107487972