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146712150 = 232521331809
BaseRepresentation
bin10001011111010…
…10011001010110
3101020001202020100
420233222121112
5300024242100
622320314530
73431014134
oct1057523126
9336052210
10146712150
11758a7012
1241172a46
132451a530
14156b0754
15cd30400
hex8bea656

146712150 has 144 divisors (see below), whose sum is σ = 438721920. Its totient is φ = 34905600.

The previous prime is 146712133. The next prime is 146712151. The reversal of 146712150 is 51217641.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146712151) 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, 180946 + ... + 181754.

It is an arithmetic number, because the mean of its divisors is an integer number (3046680).

Almost surely, 2146712150 is an apocalyptic number.

146712150 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 146712150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219360960).

146712150 is an abundant number, since it is smaller than the sum of its proper divisors (292009770).

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

146712150 is a wasteful number, since it uses less digits than its factorization.

146712150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 146712150 is about 12112.4791021492. The cubic root of 146712150 is about 527.4185015186.

Adding to 146712150 its reverse (51217641), we get a palindrome (197929791).

The spelling of 146712150 in words is "one hundred forty-six million, seven hundred twelve 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 90 93 117 130 150 155 186 195 225 234 279 310 325 390 403 450 465 558 585 650 775 806 809 930 975 1170 1209 1395 1550 1618 1950 2015 2325 2418 2427 2790 2925 3627 4030 4045 4650 4854 5850 6045 6975 7254 7281 8090 10075 10517 12090 12135 13950 14562 18135 20150 20225 21034 24270 25079 30225 31551 36270 36405 40450 50158 52585 60450 60675 63102 72810 75237 90675 94653 105170 121350 125395 150474 157755 181350 182025 189306 225711 250790 262925 315510 326027 364050 376185 451422 473265 525850 626975 652054 752370 788775 946530 978081 1128555 1253950 1577550 1630135 1880925 1956162 2257110 2366325 2934243 3260270 3761850 4732650 4890405 5642775 5868486 8150675 9780810 11285550 14671215 16301350 24452025 29342430 48904050 73356075 146712150