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120130038 = 2327979829
BaseRepresentation
bin1110010100100…
…00100111110110
322101001020102200
413022100213312
5221223130123
615530445330
72656042230
oct712204766
9271036380
10120130038
11618a0526
1234293846
131bb71182
1411d51250
15a82e143
hex72909f6

120130038 has 48 divisors (see below), whose sum is σ = 300562080. Its totient is φ = 33965568.

The previous prime is 120130019. The next prime is 120130039. The reversal of 120130038 is 830031021.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 120130038.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120130039) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7308 + ... + 17136.

It is an arithmetic number, because the mean of its divisors is an integer number (6261710).

Almost surely, 2120130038 is an apocalyptic number.

120130038 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 120130038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150281040).

120130038 is an abundant number, since it is smaller than the sum of its proper divisors (180432042).

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

120130038 is a wasteful number, since it uses less digits than its factorization.

120130038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9941 (or 9938 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 120130038 is about 10960.3849384955. The cubic root of 120130038 is about 493.4205179287.

Adding to 120130038 its reverse (830031021), we get a palindrome (950161059).

The spelling of 120130038 in words is "one hundred twenty million, one hundred thirty thousand, thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 97 126 194 291 582 679 873 1358 1746 2037 4074 6111 9829 12222 19658 29487 58974 68803 88461 137606 176922 206409 412818 619227 953413 1238454 1906826 2860239 5720478 6673891 8580717 13347782 17161434 20021673 40043346 60065019 120130038