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130053378 = 23713313761
BaseRepresentation
bin1111100000001…
…11010100000010
3100001201101200210
413300013110002
5231243202003
620523254550
73136302240
oct760072402
9301641623
10130053378
1167459034
123767a456
1320c36b80
14133b5790
15b63e503
hex7c07502

130053378 has 64 divisors (see below), whose sum is σ = 321576192. Its totient is φ = 34145280.

The previous prime is 130053359. The next prime is 130053379. The reversal of 130053378 is 873350031.

It is a super-2 number, since 2×1300533782 = 33827762258421768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130053379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170518 + ... + 171278.

It is an arithmetic number, because the mean of its divisors is an integer number (5024628).

Almost surely, 2130053378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130053378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160788096).

130053378 is an abundant number, since it is smaller than the sum of its proper divisors (191522814).

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

130053378 is a wasteful number, since it uses less digits than its factorization.

130053378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099.

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 130053378 is about 11404.0947909073. The cubic root of 130053378 is about 506.6490262980.

The spelling of 130053378 in words is "one hundred thirty million, fifty-three thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 313 546 626 761 939 1522 1878 2191 2283 4069 4382 4566 5327 6573 8138 9893 10654 12207 13146 15981 19786 24414 28483 29679 31962 56966 59358 69251 85449 138502 170898 207753 238193 415506 476386 714579 1429158 1667351 3096509 3334702 5002053 6193018 9289527 10004106 18579054 21675563 43351126 65026689 130053378