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381153060 = 223353122769
BaseRepresentation
bin10110101101111…
…110111100100100
3222120012120201000
4112231332330210
51240033344220
6101453233300
712305514261
oct2655767444
9876176630
10381153060
11186172a32
12a7792830
1360c72c72
143889a268
15236de390
hex16b7ef24

381153060 has 96 divisors (see below), whose sum is σ = 1224115200. Its totient is φ = 98357760.

The previous prime is 381153049. The next prime is 381153067. The reversal of 381153060 is 60351183.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (381153067) 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, 5356 + ... + 28124.

It is an arithmetic number, because the mean of its divisors is an integer number (12751200).

Almost surely, 2381153060 is an apocalyptic number.

381153060 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381153060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612057600).

381153060 is an abundant number, since it is smaller than the sum of its proper divisors (842962140).

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

381153060 is a wasteful number, since it uses less digits than its factorization.

381153060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22818 (or 22810 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 381153060 is about 19523.1416529205. The cubic root of 381153060 is about 725.0475180904.

The spelling of 381153060 in words is "three hundred eighty-one million, one hundred fifty-three thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 90 93 108 124 135 155 180 186 270 279 310 372 465 540 558 620 837 930 1116 1395 1674 1860 2790 3348 4185 5580 8370 16740 22769 45538 68307 91076 113845 136614 204921 227690 273228 341535 409842 455380 614763 683070 705839 819684 1024605 1229526 1366140 1411678 2049210 2117517 2459052 2823356 3073815 3529195 4098420 4235034 6147630 6352551 7058390 8470068 10587585 12295260 12705102 14116780 19057653 21175170 25410204 31762755 38115306 42350340 63525510 76230612 95288265 127051020 190576530 381153060