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107430064 = 2471019497
BaseRepresentation
bin1100110011101…
…00000010110000
321111011000100021
412121310002300
5210000230224
614354333224
72443066120
oct631640260
9244130307
10107430064
1155706885
122bb8a214
13193456b1
14103a6c80
1596711e4
hex66740b0

107430064 has 40 divisors (see below), whose sum is σ = 240261408. Its totient is φ = 45580800.

The previous prime is 107430061. The next prime is 107430077. The reversal of 107430064 is 460034701.

It is not an unprimeable number, because it can be changed into a prime (107430061) 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 7 ways as a sum of consecutive naturals, for example, 6564 + ... + 16060.

Almost surely, 2107430064 is an apocalyptic number.

107430064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107430064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120130704).

107430064 is an abundant number, since it is smaller than the sum of its proper divisors (132831344).

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

107430064 is a wasteful number, since it uses less digits than its factorization.

107430064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9613 (or 9607 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 107430064 is about 10364.8475145561. The cubic root of 107430064 is about 475.3811367560.

Adding to 107430064 its reverse (460034701), we get a palindrome (567464765).

The spelling of 107430064 in words is "one hundred seven million, four hundred thirty thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 56 101 112 202 404 707 808 1414 1616 2828 5656 9497 11312 18994 37988 66479 75976 132958 151952 265916 531832 959197 1063664 1918394 3836788 6714379 7673576 13428758 15347152 26857516 53715032 107430064