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190068100 = 225218110501
BaseRepresentation
bin10110101010000…
…11010110000100
3111020122110102021
423111003112010
5342124134400
630505452524
74465360255
oct1325032604
9436573367
10190068100
1198319a82
12537a1144
13304ba741
141b358b2c
1511a4671a
hexb543584

190068100 has 36 divisors (see below), whose sum is σ = 414765988. Its totient is φ = 75600000.

The previous prime is 190068097. The next prime is 190068101. The reversal of 190068100 is 1860091.

It can be written as a sum of positive squares in 6 ways, for example, as 58461316 + 131606784 = 7646^2 + 11472^2 .

It is a super-2 number, since 2×1900681002 = 72251765275220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (190068101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12850 + ... + 23350.

Almost surely, 2190068100 is an apocalyptic number.

190068100 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 190068100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207382994).

190068100 is an abundant number, since it is smaller than the sum of its proper divisors (224697888).

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

190068100 is a wasteful number, since it uses less digits than its factorization.

190068100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10696 (or 10689 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 25.

The square root of 190068100 is about 13786.5187774144. The cubic root of 190068100 is about 574.9583838816.

The spelling of 190068100 in words is "one hundred ninety million, sixty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 181 362 724 905 1810 3620 4525 9050 10501 18100 21002 42004 52505 105010 210020 262525 525050 1050100 1900681 3801362 7602724 9503405 19006810 38013620 47517025 95034050 190068100