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107555430 = 23517316803
BaseRepresentation
bin1100110100100…
…10101001100110
321111101101022110
412122102221212
5210013233210
614401141450
72444130453
oct632225146
9244341273
10107555430
1155791a94
123002a886
131938a788
14103da82a
159698420
hex6692a66

107555430 has 64 divisors (see below), whose sum is σ = 282175488. Its totient is φ = 26119680.

The previous prime is 107555303. The next prime is 107555431. The reversal of 107555430 is 34555701.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107555431) 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 31 ways as a sum of consecutive naturals, for example, 12409 + ... + 19211.

It is an arithmetic number, because the mean of its divisors is an integer number (4408992).

Almost surely, 2107555430 is an apocalyptic number.

107555430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107555430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141087744).

107555430 is an abundant number, since it is smaller than the sum of its proper divisors (174620058).

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

107555430 is a wasteful number, since it uses less digits than its factorization.

107555430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6861.

The product of its (nonzero) digits is 10500, while the sum is 30.

The square root of 107555430 is about 10370.8934041383. The cubic root of 107555430 is about 475.5659809302.

The spelling of 107555430 in words is "one hundred seven million, five hundred fifty-five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 31 34 51 62 85 93 102 155 170 186 255 310 465 510 527 930 1054 1581 2635 3162 5270 6803 7905 13606 15810 20409 34015 40818 68030 102045 115651 204090 210893 231302 346953 421786 578255 632679 693906 1054465 1156510 1265358 1734765 2108930 3163395 3469530 3585181 6326790 7170362 10755543 17925905 21511086 35851810 53777715 107555430