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1341649920 = 21035136719
BaseRepresentation
bin100111111110111…
…1111010000000000
310110111112212200210
41033331333100000
510221430244140
6341044114120
745150556542
oct11775772000
93414485623
101341649920
11629365496
12315395940
13184c5b7c0
14ca283692
157cbbad80
hex4ff7f400

1341649920 has 176 divisors, whose sum is σ = 4621962240. Its totient is φ = 330203136.

The previous prime is 1341649919. The next prime is 1341649927. The reversal of 1341649920 is 299461431.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1341649927) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 196321 + ... + 203039.

Almost surely, 21341649920 is an apocalyptic number.

1341649920 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 1341649920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2310981120).

1341649920 is an abundant number, since it is smaller than the sum of its proper divisors (3280312320).

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

1341649920 is a wasteful number, since it uses less digits than its factorization.

1341649920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6760 (or 6742 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 1341649920 is about 36628.5396924311. The cubic root of 1341649920 is about 1102.9260718153.

It can be divided in two parts, 13416 and 49920, that added together give a palindrome (63336).

The spelling of 1341649920 in words is "one billion, three hundred forty-one million, six hundred forty-nine thousand, nine hundred twenty".