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2688425140 = 2251915146853
BaseRepresentation
bin1010000000111110…
…0001110010110100
320221100202010222111
42200033201302310
521001214101030
61122434140404
7123423144112
oct24017416264
96840663874
102688425140
11115a600665
12630421704
1333ac9310b
141b709cab2
1510b04a62a
hexa03e1cb4

2688425140 has 48 divisors (see below), whose sum is σ = 5982318720. Its totient is φ = 1012003200.

The previous prime is 2688425137. The next prime is 2688425141. The reversal of 2688425140 is 415248862.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2688425093 and 2688425102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2688425141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33954 + ... + 80806.

It is an arithmetic number, because the mean of its divisors is an integer number (124631640).

Almost surely, 22688425140 is an apocalyptic number.

2688425140 is a gapful number since it is divisible by the number (20) 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 2688425140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2991159360).

2688425140 is an abundant number, since it is smaller than the sum of its proper divisors (3293893580).

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

2688425140 is a wasteful number, since it uses less digits than its factorization.

2688425140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47032 (or 47030 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 40.

The square root of 2688425140 is about 51850.0254580458. The cubic root of 2688425140 is about 1390.4839575609.

The spelling of 2688425140 in words is "two billion, six hundred eighty-eight million, four hundred twenty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 151 190 302 380 604 755 1510 2869 3020 5738 11476 14345 28690 46853 57380 93706 187412 234265 468530 890207 937060 1780414 3560828 4451035 7074803 8902070 14149606 17804140 28299212 35374015 70748030 134421257 141496060 268842514 537685028 672106285 1344212570 2688425140