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190820376 = 2332173147107
BaseRepresentation
bin10110101111110…
…11000000011000
3111022001200100100
423113323000120
5342322223001
630533535400
74504642425
oct1327730030
9438050310
10190820376
119879319a
1253aa4560
13306c1c86
141b4b2d4c
1511b44586
hexb5fb018

190820376 has 192 divisors, whose sum is σ = 582266880. Its totient is φ = 56171520.

The previous prime is 190820353. The next prime is 190820389. The reversal of 190820376 is 673028091.

190820376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 190820376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1783315 + ... + 1783421.

It is an arithmetic number, because the mean of its divisors is an integer number (3032640).

Almost surely, 2190820376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190820376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291133440).

190820376 is an abundant number, since it is smaller than the sum of its proper divisors (391446504).

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

190820376 is a wasteful number, since it uses less digits than its factorization.

190820376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 207 counting only the distinct ones).

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

The square root of 190820376 is about 13813.7748642433. The cubic root of 190820376 is about 575.7159334250.

The spelling of 190820376 in words is "one hundred ninety million, eight hundred twenty thousand, three hundred seventy-six".