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381168870 = 23531616719
BaseRepresentation
bin10110101110000…
…010110011100110
3222120020101101120
4112232002303212
51240034400440
6101453434410
712305611335
oct2656026346
9876211346
10381168870
111861838a5
12a779ba06
1360c7a214
14388a1d1c
15236e3dd0
hex16b82ce6

381168870 has 64 divisors (see below), whose sum is σ = 959938560. Its totient is φ = 96739200.

The previous prime is 381168869. The next prime is 381168871. The reversal of 381168870 is 78861183.

381168870 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (381168869) and next prime (381168871).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381168871) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53371 + ... + 60089.

It is an arithmetic number, because the mean of its divisors is an integer number (14999040).

Almost surely, 2381168870 is an apocalyptic number.

381168870 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 381168870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479969280).

381168870 is an abundant number, since it is smaller than the sum of its proper divisors (578769690).

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

381168870 is a wasteful number, since it uses less digits than its factorization.

381168870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6821.

The product of its (nonzero) digits is 64512, while the sum is 42.

The square root of 381168870 is about 19523.5465528167. The cubic root of 381168870 is about 725.0575427970.

The spelling of 381168870 in words is "three hundred eighty-one million, one hundred sixty-eight thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 31 61 62 93 122 155 183 186 305 310 366 465 610 915 930 1830 1891 3782 5673 6719 9455 11346 13438 18910 20157 28365 33595 40314 56730 67190 100785 201570 208289 409859 416578 624867 819718 1041445 1229577 1249734 2049295 2082890 2459154 3124335 4098590 6147885 6248670 12295770 12705629 25411258 38116887 63528145 76233774 127056290 190584435 381168870