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106030760 = 23511397607
BaseRepresentation
bin1100101000111…
…10011010101000
321101111220212012
412110132122220
5204120441020
614304335052
72425150403
oct624363250
9241456765
10106030760
1154940530
122b614488
1318c757c4
1410120d3a
1594967c5
hex651e6a8

106030760 has 64 divisors (see below), whose sum is σ = 261342720. Its totient is φ = 38396160.

The previous prime is 106030723. The next prime is 106030763. The reversal of 106030760 is 67030601.

It is a super-2 number, since 2×1060307602 = 22485044132355200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106030763) 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, 174377 + ... + 174983.

It is an arithmetic number, because the mean of its divisors is an integer number (4083480).

Almost surely, 2106030760 is an apocalyptic number.

106030760 is a gapful number since it is divisible by the number (10) 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 106030760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130671360).

106030760 is an abundant number, since it is smaller than the sum of its proper divisors (155311960).

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

106030760 is a wasteful number, since it uses less digits than its factorization.

106030760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 106030760 is about 10297.1238702853. The cubic root of 106030760 is about 473.3081231476.

The spelling of 106030760 in words is "one hundred six million, thirty thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 397 440 607 794 1214 1588 1985 2428 3035 3176 3970 4367 4856 6070 6677 7940 8734 12140 13354 15880 17468 21835 24280 26708 33385 34936 43670 53416 66770 87340 133540 174680 240979 267080 481958 963916 1204895 1927832 2409790 2650769 4819580 5301538 9639160 10603076 13253845 21206152 26507690 53015380 106030760