Search a number
-
+
150060300 = 2235213109353
BaseRepresentation
bin10001111000110…
…11110100001100
3101110100212000220
420330123310030
5301403412200
622520151340
73501330405
oct1074336414
9343325026
10150060300
1177783585
1242308550
13251204a0
1415d029ac
15d2924a0
hex8f1bd0c

150060300 has 144 divisors (see below), whose sum is σ = 473198880. Its totient is φ = 36495360.

The previous prime is 150060293. The next prime is 150060301. The reversal of 150060300 is 3060051.

150060300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 150060300.

It is not an unprimeable number, because it can be changed into a prime (150060301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 424924 + ... + 425276.

Almost surely, 2150060300 is an apocalyptic number.

150060300 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 150060300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236599440).

150060300 is an abundant number, since it is smaller than the sum of its proper divisors (323138580).

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

150060300 is a wasteful number, since it uses less digits than its factorization.

150060300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 150060300 is about 12249.9102037525. The cubic root of 150060300 is about 531.4004731770.

The spelling of 150060300 in words is "one hundred fifty million, sixty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 109 130 150 156 195 218 260 300 325 327 353 390 436 545 650 654 706 780 975 1059 1090 1300 1308 1412 1417 1635 1765 1950 2118 2180 2725 2834 3270 3530 3900 4236 4251 4589 5295 5450 5668 6540 7060 7085 8175 8502 8825 9178 10590 10900 13767 14170 16350 17004 17650 18356 21180 21255 22945 26475 27534 28340 32700 35300 35425 38477 42510 45890 52950 55068 68835 70850 76954 85020 91780 105900 106275 114725 115431 137670 141700 153908 192385 212550 229450 230862 275340 344175 384770 425100 458900 461724 500201 577155 688350 769540 961925 1000402 1154310 1376700 1500603 1923850 2000804 2308620 2501005 2885775 3001206 3847700 5002010 5771550 6002412 7503015 10004020 11543100 12505025 15006030 25010050 30012060 37515075 50020100 75030150 150060300