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65738140 = 225132310993
BaseRepresentation
bin1111101011000…
…1010110011100
311120200211202221
43322301112130
5113312110030
610304555124
71425523246
oct372612634
9146624687
1065738140
1134120046
121a022aa4
1310808a10
148a33096
155b87e7a
hex3eb159c

65738140 has 48 divisors (see below), whose sum is σ = 155147328. Its totient is φ = 23215104.

The previous prime is 65738137. The next prime is 65738147. The reversal of 65738140 is 4183756.

It is a junction number, because it is equal to n+sod(n) for n = 65738096 and 65738105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65738147) 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, 484 + ... + 11476.

It is an arithmetic number, because the mean of its divisors is an integer number (3232236).

Almost surely, 265738140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65738140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77573664).

65738140 is an abundant number, since it is smaller than the sum of its proper divisors (89409188).

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

65738140 is a wasteful number, since it uses less digits than its factorization.

65738140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11038 (or 11036 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 65738140 is about 8107.9060182022. The cubic root of 65738140 is about 403.5888294598.

The spelling of 65738140 in words is "sixty-five million, seven hundred thirty-eight thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 230 260 299 460 598 1196 1495 2990 5980 10993 21986 43972 54965 109930 142909 219860 252839 285818 505678 571636 714545 1011356 1264195 1429090 2528390 2858180 3286907 5056780 6573814 13147628 16434535 32869070 65738140