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1241042880 = 2635711103163
BaseRepresentation
bin100100111111000…
…1100111111000000
310012111020111210010
41021332030333000
510020201333010
6323051504520
742516455550
oct11176147700
93174214703
101241042880
11587599980
122a7758140
1316a1648cc
14bab75160
1573e46620
hex49f8cfc0

1241042880 has 448 divisors, whose sum is σ = 4990722048. Its totient is φ = 253808640.

The previous prime is 1241042819. The next prime is 1241042897. The reversal of 1241042880 is 882401421.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7613679 + ... + 7613841.

Almost surely, 21241042880 is an apocalyptic number.

1241042880 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 1241042880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2495361024).

1241042880 is an abundant number, since it is smaller than the sum of its proper divisors (3749679168).

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

1241042880 is a wasteful number, since it uses less digits than its factorization.

1241042880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 1241042880 is about 35228.4385120885. The cubic root of 1241042880 is about 1074.6381706375.

The spelling of 1241042880 in words is "one billion, two hundred forty-one million, forty-two thousand, eight hundred eighty".