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16140150 = 23252133189
BaseRepresentation
bin111101100100…
…011101110110
31010101000010100
4331210131312
513112441100
61333534530
7254121555
oct75443566
933330110
1016140150
119124374
1254a4446
1334615b0
142201d9c
15163c400
hexf64776

16140150 has 144 divisors (see below), whose sum is σ = 48746880. Its totient is φ = 3801600.

The previous prime is 16140133. The next prime is 16140151. The reversal of 16140150 is 5104161.

16140150 is a `hidden beast` number, since 1 + 614 + 0 + 1 + 50 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16140151) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 181306 + ... + 181394.

It is an arithmetic number, because the mean of its divisors is an integer number (338520).

Almost surely, 216140150 is an apocalyptic number.

16140150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16140150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24373440).

16140150 is an abundant number, since it is smaller than the sum of its proper divisors (32606730).

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

16140150 is a wasteful number, since it uses less digits than its factorization.

16140150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 16140150 is about 4017.4805537799. The cubic root of 16140150 is about 252.7178135570.

It can be divided in two parts, 16140 and 150, that added together give a triangular number (16290 = T180).

The spelling of 16140150 in words is "sixteen million, one hundred forty thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 31 39 45 50 62 65 75 78 89 90 93 117 130 150 155 178 186 195 225 234 267 279 310 325 390 403 445 450 465 534 558 585 650 775 801 806 890 930 975 1157 1170 1209 1335 1395 1550 1602 1950 2015 2225 2314 2325 2418 2670 2759 2790 2925 3471 3627 4005 4030 4450 4650 5518 5785 5850 6045 6675 6942 6975 7254 8010 8277 10075 10413 11570 12090 13350 13795 13950 16554 17355 18135 20025 20150 20826 24831 27590 28925 30225 34710 35867 36270 40050 41385 49662 52065 57850 60450 68975 71734 82770 86775 90675 104130 107601 124155 137950 173550 179335 181350 206925 215202 248310 260325 322803 358670 413850 520650 538005 620775 645606 896675 1076010 1241550 1614015 1793350 2690025 3228030 5380050 8070075 16140150