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1341555840 = 27325283823
BaseRepresentation
bin100111111110110…
…1000010010000000
310110111101002122100
41033331220102000
510221414241330
6341042110400
745150015342
oct11775502200
93414332570
101341555840
11629300839
1231534b400
13184c27a31
14ca25b292
157cb9d060
hex4ff68480

1341555840 has 192 divisors, whose sum is σ = 4654578240. Its totient is φ = 356050944.

The previous prime is 1341555751. The next prime is 1341555869. The reversal of 1341555840 is 485551431.

It is a tau number, because it is divible by the number of its divisors (192).

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 junction number, because it is equal to n+sod(n) for n = 1341555795 and 1341555804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1629669 + ... + 1630491.

It is an arithmetic number, because the mean of its divisors is an integer number (24242595).

Almost surely, 21341555840 is an apocalyptic number.

1341555840 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 1341555840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2327289120).

1341555840 is an abundant number, since it is smaller than the sum of its proper divisors (3313022400).

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

1341555840 is a wasteful number, since it uses less digits than its factorization.

1341555840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 1341555840 is about 36627.2554254342. The cubic root of 1341555840 is about 1102.9002911928.

The spelling of 1341555840 in words is "one billion, three hundred forty-one million, five hundred fifty-five thousand, eight hundred forty".