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1335544980 = 2235721161677
BaseRepresentation
bin100111110011010…
…1100110010010100
310110002001201021220
41033212230302110
510213344414410
6340305210340
745044642100
oct11746546224
93402051256
101335544980
11625975790
123133309b0
13183901b03
14c9534900
157c3b2070
hex4f9acc94

1335544980 has 288 divisors, whose sum is σ = 4830440832. Its totient is φ = 272563200.

The previous prime is 1335544963. The next prime is 1335544981. The reversal of 1335544980 is 894455331.

1335544980 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1335544981) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1972402 + ... + 1973078.

It is an arithmetic number, because the mean of its divisors is an integer number (16772364).

Almost surely, 21335544980 is an apocalyptic number.

1335544980 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 1335544980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2415220416).

1335544980 is an abundant number, since it is smaller than the sum of its proper divisors (3494895852).

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

1335544980 is a wasteful number, since it uses less digits than its factorization.

1335544980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 1335544980 is about 36545.1088382563. The cubic root of 1335544980 is about 1101.2506381619.

The spelling of 1335544980 in words is "one billion, three hundred thirty-five million, five hundred forty-four thousand, nine hundred eighty".