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190026144 = 253271121941
BaseRepresentation
bin10110101001110…
…01000110100000
3111020120022212100
423110321012200
5342121314034
630504530400
74465124040
oct1324710640
9436508770
10190026144
11982a0500
1253780a00
13304a4609
141b347720
1511a39099
hexb5391a0

190026144 has 432 divisors, whose sum is σ = 731989440. Its totient is φ = 45619200.

The previous prime is 190026139. The next prime is 190026157. The reversal of 190026144 is 441620091.

190026144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1900261442 = 72219870807017472, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4634764 + ... + 4634804.

It is an arithmetic number, because the mean of its divisors is an integer number (1694420).

Almost surely, 2190026144 is an apocalyptic number.

190026144 is a gapful number since it is divisible by the number (14) 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 190026144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365994720).

190026144 is an abundant number, since it is smaller than the sum of its proper divisors (541963296).

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

190026144 is a wasteful number, since it uses less digits than its factorization.

190026144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 190026144 is about 13784.9970620236. The cubic root of 190026144 is about 574.9160749598.

The spelling of 190026144 in words is "one hundred ninety million, twenty-six thousand, one hundred forty-four".