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190429272 = 23331180147
BaseRepresentation
bin10110101100110…
…11100001011000
3111021022210212000
423112123201120
5342222214042
630521321000
74501423245
oct1326334130
9437283760
10190429272
1198546370
1253936160
13305b5c57
141b4105cc
1511ab874c
hexb59b858

190429272 has 64 divisors (see below), whose sum is σ = 577065600. Its totient is φ = 57705120.

The previous prime is 190429243. The next prime is 190429273. The reversal of 190429272 is 272924091.

190429272 is digitally balanced in base 2 and base 3, because in such bases 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 (190429273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37698 + ... + 42449.

It is an arithmetic number, because the mean of its divisors is an integer number (9016650).

Almost surely, 2190429272 is an apocalyptic number.

190429272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

190429272 is an abundant number, since it is smaller than the sum of its proper divisors (386636328).

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

190429272 is a wasteful number, since it uses less digits than its factorization.

190429272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80173 (or 80163 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 190429272 is about 13799.6112988736. The cubic root of 190429272 is about 575.3223367232.

The spelling of 190429272 in words is "one hundred ninety million, four hundred twenty-nine thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 80147 160294 240441 320588 480882 641176 721323 881617 961764 1442646 1763234 1923528 2163969 2644851 2885292 3526468 4327938 5289702 5770584 7052936 7934553 8655876 10579404 15869106 17311752 21158808 23803659 31738212 47607318 63476424 95214636 190429272