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103140918 = 2334321033
BaseRepresentation
bin1100010010111…
…00111000110110
321012002002202000
412021130320312
5202401002133
614122400130
72361453246
oct611347066
9235062660
10103140918
1153247331
122a660046
13184a333a
14d9abb26
1590c5413
hex625ce36

103140918 has 48 divisors (see below), whose sum is σ = 234883440. Its totient is φ = 33548256.

The previous prime is 103140883. The next prime is 103140931. The reversal of 103140918 is 819041301.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 103140891 and 103140900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99330 + ... + 100362.

It is an arithmetic number, because the mean of its divisors is an integer number (4893405).

Almost surely, 2103140918 is an apocalyptic number.

103140918 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103140918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117441720).

103140918 is an abundant number, since it is smaller than the sum of its proper divisors (131742522).

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

103140918 is a wasteful number, since it uses less digits than its factorization.

103140918 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 103140918 is about 10155.8317236945. The cubic root of 103140918 is about 468.9684907826.

The spelling of 103140918 in words is "one hundred three million, one hundred forty thousand, nine hundred eighteen".

Divisors: 1 2 3 6 9 18 27 43 54 86 129 258 387 774 1033 1161 1849 2066 2322 3099 3698 5547 6198 9297 11094 16641 18594 27891 33282 44419 49923 55782 88838 99846 133257 266514 399771 799542 1199313 1910017 2398626 3820034 5730051 11460102 17190153 34380306 51570459 103140918