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150062500 = 225674
BaseRepresentation
bin10001111000111…
…00010110100100
3101110100222001101
420330130112210
5301404000000
622520205444
73501340000
oct1074342644
9343328041
10150062500
11777851a5
1242309884
13251214a3
1415d03700
15d292e6a
hex8f1c5a4

150062500 has 105 divisors (see below), whose sum is σ = 382944317. Its totient is φ = 51450000.

The previous prime is 150062483. The next prime is 150062533. The reversal of 150062500 is 5260051.

It is a happy number.

The square root of 150062500 is 12250.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 131469156 + 18593344 = 11466^2 + 4312^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 34 ways as a sum of consecutive naturals, for example, 21437497 + ... + 21437503.

Almost surely, 2150062500 is an apocalyptic number.

150062500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

150062500 is the 12250-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150062500

150062500 is an abundant number, since it is smaller than the sum of its proper divisors (232881817).

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

150062500 is an frugal number, since it uses more digits than its factorization.

150062500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The cubic root of 150062500 is about 531.4030700782.

It can be divided in two parts, 1500 and 62500, that added together give a cube (64000 = 403).

The spelling of 150062500 in words is "one hundred fifty million, sixty-two thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 125 140 175 196 245 250 343 350 490 500 625 686 700 875 980 1225 1250 1372 1715 1750 2401 2450 2500 3125 3430 3500 4375 4802 4900 6125 6250 6860 8575 8750 9604 12005 12250 12500 15625 17150 17500 21875 24010 24500 30625 31250 34300 42875 43750 48020 60025 61250 62500 85750 87500 109375 120050 122500 153125 171500 214375 218750 240100 300125 306250 428750 437500 600250 612500 765625 857500 1071875 1200500 1500625 1531250 2143750 3001250 3062500 4287500 5359375 6002500 7503125 10718750 15006250 21437500 30012500 37515625 75031250 150062500