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1989101400 = 23352111397239
BaseRepresentation
bin111011010001111…
…0100011101011000
312010121211211011020
41312203310131120
513033202221100
6525213202440
7100202040306
oct16643643530
95117754136
101989101400
11930883360
12476190420
1325912c7a0
1414c25d276
15b995d5a0
hex768f4758

1989101400 has 384 divisors, whose sum is σ = 7349529600. Its totient is φ = 438681600.

The previous prime is 1989101399. The next prime is 1989101449. The reversal of 1989101400 is 41019891.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8322481 + ... + 8322719.

It is an arithmetic number, because the mean of its divisors is an integer number (19139400).

Almost surely, 21989101400 is an apocalyptic number.

1989101400 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 1989101400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3674764800).

1989101400 is an abundant number, since it is smaller than the sum of its proper divisors (5360428200).

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

1989101400 is a wasteful number, since it uses less digits than its factorization.

1989101400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 33.

The square root of 1989101400 is about 44599.3430444889. The cubic root of 1989101400 is about 1257.6283176503.

The spelling of 1989101400 in words is "one billion, nine hundred eighty-nine million, one hundred one thousand, four hundred".