Search a number
-
+
182150856 = 233729359
BaseRepresentation
bin10101101101101…
…10011011001000
3110200202020000000
422312312123020
5333112311411
630024043000
74341154026
oct1266663310
9420666000
10182150856
11939016a8
1251003460
132b977b94
141a297716
1510ed0956
hexadb66c8

182150856 has 128 divisors (see below), whose sum is σ = 531360000. Its totient is φ = 58459968.

The previous prime is 182150851. The next prime is 182150863. The reversal of 182150856 is 658051281.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 182150856.

It is not an unprimeable number, because it can be changed into a prime (182150851) 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, 507205 + ... + 507563.

It is an arithmetic number, because the mean of its divisors is an integer number (4151250).

Almost surely, 2182150856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 182150856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265680000).

182150856 is an abundant number, since it is smaller than the sum of its proper divisors (349209144).

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

182150856 is an equidigital number, since it uses as much as digits as its factorization.

182150856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The square root of 182150856 is about 13496.3275004721. The cubic root of 182150856 is about 566.8616442466.

The spelling of 182150856 in words is "one hundred eighty-two million, one hundred fifty thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 81 87 108 116 162 174 216 232 243 261 324 348 359 486 522 648 696 718 729 783 972 1044 1077 1436 1458 1566 1944 2088 2154 2187 2349 2872 2916 3132 3231 4308 4374 4698 5832 6264 6462 7047 8616 8748 9396 9693 10411 12924 14094 17496 18792 19386 20822 21141 25848 28188 29079 31233 38772 41644 42282 56376 58158 62466 63423 77544 83288 84564 87237 93699 116316 124932 126846 169128 174474 187398 232632 249864 253692 261711 281097 348948 374796 507384 523422 562194 697896 749592 785133 843291 1046844 1124388 1570266 1686582 2093688 2248776 2529873 3140532 3373164 5059746 6281064 6746328 7589619 10119492 15179238 20238984 22768857 30358476 45537714 60716952 91075428 182150856