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128137240 = 23571141603
BaseRepresentation
bin1111010001100…
…11100000011000
322221010001020201
413220303200120
5230300342430
620414231544
73114101650
oct750634030
9287101221
10128137240
116636a450
1236ab55b4
132071596a
1413037360
15b3b18ca
hex7a33818

128137240 has 64 divisors (see below), whose sum is σ = 359458560. Its totient is φ = 39937920.

The previous prime is 128137231. The next prime is 128137249. The reversal of 128137240 is 42731821.

It is an interprime number because it is at equal distance from previous prime (128137231) and next prime (128137249).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 128137199 and 128137208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128137249) 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, 17722 + ... + 23881.

It is an arithmetic number, because the mean of its divisors is an integer number (5616540).

Almost surely, 2128137240 is an apocalyptic number.

128137240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128137240 is an abundant number, since it is smaller than the sum of its proper divisors (231321320).

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

128137240 is a wasteful number, since it uses less digits than its factorization.

128137240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41632 (or 41628 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 128137240 is about 11319.7720825112. The cubic root of 128137240 is about 504.1484718369.

The spelling of 128137240 in words is "one hundred twenty-eight million, one hundred thirty-seven thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 41603 83206 166412 208015 291221 332824 416030 457633 582442 832060 915266 1164884 1456105 1664120 1830532 2288165 2329768 2912210 3203431 3661064 4576330 5824420 6406862 9152660 11648840 12813724 16017155 18305320 25627448 32034310 64068620 128137240