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381935190 = 235713314513
BaseRepresentation
bin10110110000111…
…101111001010110
3222121200022120210
4112300331321112
51240233411230
6101522110250
712315252450
oct2660757126
9877608523
10381935190
1118665761a
12a7aab386
1361187c70
1438a212d0
15237e5eb0
hex16c3de56

381935190 has 128 divisors (see below), whose sum is σ = 1164828672. Its totient is φ = 77967360.

The previous prime is 381935189. The next prime is 381935233. The reversal of 381935190 is 91539183.

It is a super-2 number, since 2×3819351902 = 291748978720672200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82374 + ... + 86886.

It is an arithmetic number, because the mean of its divisors is an integer number (9100224).

Almost surely, 2381935190 is an apocalyptic number.

381935190 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 381935190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582414336).

381935190 is an abundant number, since it is smaller than the sum of its proper divisors (782893482).

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

381935190 is a wasteful number, since it uses less digits than its factorization.

381935190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4574.

The product of its (nonzero) digits is 29160, while the sum is 39.

The square root of 381935190 is about 19543.1622313279. The cubic root of 381935190 is about 725.5431142439.

The spelling of 381935190 in words is "three hundred eighty-one million, nine hundred thirty-five thousand, one hundred ninety".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 31 35 39 42 62 65 70 78 91 93 105 130 155 182 186 195 210 217 273 310 390 403 434 455 465 546 651 806 910 930 1085 1209 1302 1365 2015 2170 2418 2730 2821 3255 4030 4513 5642 6045 6510 8463 9026 12090 13539 14105 16926 22565 27078 28210 31591 42315 45130 58669 63182 67695 84630 94773 117338 135390 139903 157955 176007 189546 279806 293345 315910 352014 410683 419709 473865 586690 699515 821366 839418 880035 947730 979321 1232049 1399030 1760070 1818739 1958642 2053415 2098545 2464098 2937963 3637478 4106830 4197090 4896605 5456217 5875926 6160245 9093695 9793210 10912434 12320490 12731173 14689815 18187390 25462346 27281085 29379630 38193519 54562170 63655865 76387038 127311730 190967595 381935190