Search a number
-
+
150470520 = 23357389193
BaseRepresentation
bin10001111011111…
…11111101111000
3101111010200202020
420331333331320
5302010024040
622533034440
73504656364
oct1075777570
9344120666
10150470520
1177a33802
1242485a20
1325235115
1415dac2a4
15d323cd0
hex8f7ff78

150470520 has 128 divisors (see below), whose sum is σ = 465134400. Its totient is φ = 38928384.

The previous prime is 150470503. The next prime is 150470521. The reversal of 150470520 is 25074051.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150470521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 779544 + ... + 779736.

Almost surely, 2150470520 is an apocalyptic number.

150470520 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 150470520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232567200).

150470520 is an abundant number, since it is smaller than the sum of its proper divisors (314663880).

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

150470520 is a wasteful number, since it uses less digits than its factorization.

150470520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 150470520 is about 12266.6425724401. The cubic root of 150470520 is about 531.8842626101.

The spelling of 150470520 in words is "one hundred fifty million, four hundred seventy thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 89 120 146 178 193 219 267 292 356 365 386 438 445 534 579 584 712 730 772 876 890 965 1068 1095 1158 1335 1460 1544 1752 1780 1930 2136 2190 2316 2670 2895 2920 3560 3860 4380 4632 5340 5790 6497 7720 8760 10680 11580 12994 14089 17177 19491 23160 25988 28178 32485 34354 38982 42267 51531 51976 56356 64970 68708 70445 77964 84534 85885 97455 103062 112712 129940 137416 140890 155928 169068 171770 194910 206124 211335 257655 259880 281780 338136 343540 389820 412248 422670 515310 563560 687080 779640 845340 1030620 1253921 1690680 2061240 2507842 3761763 5015684 6269605 7523526 10031368 12539210 15047052 18808815 25078420 30094104 37617630 50156840 75235260 150470520