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190066240 = 26571361107
BaseRepresentation
bin10110101010000…
…10111001000000
3111020122100212101
423111002321000
5342124104430
630505440144
74465351660
oct1325027100
9436570771
10190066240
1198318641
12537a0054
13304b9940
141b3581a0
1511a45dca
hexb542e40

190066240 has 224 divisors, whose sum is σ = 571463424. Its totient is φ = 58613760.

The previous prime is 190066229. The next prime is 190066249. The reversal of 190066240 is 42660091.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×1900662402 = 72250351175475200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 190066199 and 190066208.

It is not an unprimeable number, because it can be changed into a prime (190066249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1776267 + ... + 1776373.

It is an arithmetic number, because the mean of its divisors is an integer number (2551176).

Almost surely, 2190066240 is an apocalyptic number.

190066240 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 190066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285731712).

190066240 is an abundant number, since it is smaller than the sum of its proper divisors (381397184).

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

190066240 is a wasteful number, since it uses less digits than its factorization.

190066240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 190066240 is about 13786.4513200461. The cubic root of 190066240 is about 574.9565083677.

The spelling of 190066240 in words is "one hundred ninety million, sixty-six thousand, two hundred forty".