Search a number
-
+
190729152 = 2632331127
BaseRepresentation
bin10110101111001…
…00101111000000
3111021220001012200
423113210233000
5342311313102
630531553200
74504112445
oct1327445700
9437801180
10190729152
11987306a9
1253a5b800
133068c5b3
141b48b9cc
1511b2751c
hexb5e4bc0

190729152 has 42 divisors (see below), whose sum is σ = 546692328. Its totient is φ = 63576192.

The previous prime is 190729111. The next prime is 190729159. The reversal of 190729152 is 251927091.

190729152 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190729159) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 164988 + ... + 166139.

It is an arithmetic number, because the mean of its divisors is an integer number (13016484).

Almost surely, 2190729152 is an apocalyptic number.

190729152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

190729152 is an abundant number, since it is smaller than the sum of its proper divisors (355963176).

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

190729152 is a wasteful number, since it uses less digits than its factorization.

190729152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331145 (or 331132 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 190729152 is about 13810.4725480340. The cubic root of 190729152 is about 575.6241761351.

It can be divided in two parts, 19072 and 9152, that added together give a square (28224 = 1682).

The spelling of 190729152 in words is "one hundred ninety million, seven hundred twenty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 331127 662254 993381 1324508 1986762 2649016 2980143 3973524 5298032 5960286 7947048 10596064 11920572 15894096 21192128 23841144 31788192 47682288 63576384 95364576 190729152