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189699840 = 2833511499
BaseRepresentation
bin10110100111010…
…01011100000000
3111012221202021000
423103221130000
5342030343330
630453532000
74462264521
oct1323513400
9435852230
10189699840
1198098330
1253644000
13303bbc35
141b2a0848
15119c2560
hexb4e9700

189699840 has 288 divisors, whose sum is σ = 735840000. Its totient is φ = 45895680.

The previous prime is 189699827. The next prime is 189699841. The reversal of 189699840 is 48996981.

189699840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189699841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 379911 + ... + 380409.

It is an arithmetic number, because the mean of its divisors is an integer number (2555000).

Almost surely, 2189699840 is an apocalyptic number.

189699840 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 189699840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367920000).

189699840 is an abundant number, since it is smaller than the sum of its proper divisors (546140160).

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

189699840 is a wasteful number, since it uses less digits than its factorization.

189699840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The square root of 189699840 is about 13773.1565009623. The cubic root of 189699840 is about 574.5868134323.

It can be divided in two parts, 1 and 89699840, that added together give a square (89699841 = 94712).

The spelling of 189699840 in words is "one hundred eighty-nine million, six hundred ninety-nine thousand, eight hundred forty".