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38168130 = 235711133141
BaseRepresentation
bin1001000110011…
…0011001000010
32122211010211110
42101212121002
534232340010
63442024150
7642265230
oct221463102
978733743
1038168130
111a5aa310
1210948056
137ba4ac0
1450d7950
15353e120
hex2466642

38168130 has 256 divisors, whose sum is σ = 130056192. Its totient is φ = 6912000.

The previous prime is 38168129. The next prime is 38168153. The reversal of 38168130 is 3186183.

38168130 is nontrivially palindromic in base 16.

It is a super-2 number, since 2×381681302 = 2913612295393800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 930910 + ... + 930950.

It is an arithmetic number, because the mean of its divisors is an integer number (508032).

Almost surely, 238168130 is an apocalyptic number.

38168130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38168130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65028096).

38168130 is an abundant number, since it is smaller than the sum of its proper divisors (91888062).

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

38168130 is a wasteful number, since it uses less digits than its factorization.

38168130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113.

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 38168130 is about 6178.0360957184. The cubic root of 38168130 is about 336.6926435968.

The spelling of 38168130 in words is "thirty-eight million, one hundred sixty-eight thousand, one hundred thirty".