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150241520 = 245111323571
BaseRepresentation
bin10001111010010…
…00000011110000
3101110201001121202
420331020003300
5301430212040
622524110332
73503013632
oct1075100360
9343631552
10150241520
1177897750
12423953a8
1325184b10
1415d4ca52
15d2cb015
hex8f480f0

150241520 has 160 divisors (see below), whose sum is σ = 428972544. Its totient is φ = 48153600.

The previous prime is 150241517. The next prime is 150241541. The reversal of 150241520 is 25142051.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 150241492 and 150241501.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 262835 + ... + 263405.

Almost surely, 2150241520 is an apocalyptic number.

150241520 is a gapful number since it is divisible by the number (10) 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 150241520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214486272).

150241520 is an abundant number, since it is smaller than the sum of its proper divisors (278731024).

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

150241520 is a wasteful number, since it uses less digits than its factorization.

150241520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 150241520 is about 12257.3047608355. The cubic root of 150241520 is about 531.6143020047.

Adding to 150241520 its reverse (25142051), we get a palindrome (175383571).

The spelling of 150241520 in words is "one hundred fifty million, two hundred forty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 23 26 40 44 46 52 55 65 80 88 92 104 110 115 130 143 176 184 208 220 230 253 260 286 299 368 440 460 506 520 571 572 598 715 880 920 1012 1040 1142 1144 1196 1265 1430 1495 1840 2024 2284 2288 2392 2530 2855 2860 2990 3289 4048 4568 4784 5060 5710 5720 5980 6281 6578 7423 9136 10120 11420 11440 11960 12562 13133 13156 14846 16445 20240 22840 23920 25124 26266 26312 29692 31405 32890 37115 45680 50248 52532 52624 59384 62810 65665 65780 74230 81653 100496 105064 118768 125620 131330 131560 144463 148460 163306 170729 210128 251240 262660 263120 288926 296920 326612 341458 408265 502480 525320 577852 593840 653224 682916 722315 816530 853645 1050640 1155704 1306448 1365832 1444630 1633060 1707290 1878019 2311408 2731664 2889260 3266120 3414580 3756038 5778520 6532240 6829160 7512076 9390095 11557040 13658320 15024152 18780190 30048304 37560380 75120760 150241520