Search a number
-
+
156224080 = 24519791301
BaseRepresentation
bin10010100111111…
…00101001010000
3101212222000011001
421103330221100
5304443132310
623300231344
73604611535
oct1123745120
9355860131
10156224080
1180203511
124439b554
132649abac
1416a68d8c
15daad93a
hex94fca50

156224080 has 80 divisors (see below), whose sum is σ = 387475200. Its totient is φ = 58406400.

The previous prime is 156224077. The next prime is 156224083. The reversal of 156224080 is 80422651.

It is an interprime number because it is at equal distance from previous prime (156224077) and next prime (156224083).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (156224083) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 119430 + ... + 120730.

It is an arithmetic number, because the mean of its divisors is an integer number (4843440).

Almost surely, 2156224080 is an apocalyptic number.

156224080 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 156224080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193737600).

156224080 is an abundant number, since it is smaller than the sum of its proper divisors (231251120).

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

156224080 is a wasteful number, since it uses less digits than its factorization.

156224080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 156224080 is about 12498.9631569983. The cubic root of 156224080 is about 538.5788879558.

The spelling of 156224080 in words is "one hundred fifty-six million, two hundred twenty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 79 80 95 152 158 190 304 316 380 395 632 760 790 1264 1301 1501 1520 1580 2602 3002 3160 5204 6004 6320 6505 7505 10408 12008 13010 15010 20816 24016 24719 26020 30020 49438 52040 60040 98876 102779 104080 120080 123595 197752 205558 247190 395504 411116 494380 513895 822232 988760 1027790 1644464 1952801 1977520 2055580 3905602 4111160 7811204 8222320 9764005 15622408 19528010 31244816 39056020 78112040 156224080