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1242190656 = 263271911613
BaseRepresentation
bin100101000001010…
…0101001101000000
310012120101211020100
41022002211031000
510021000100111
6323132242400
742532306050
oct11202451500
93176354210
101242190656
11588203253
122a8010400
1316a477175
14bad93560
15740c1756
hex4a0a5340

1242190656 has 168 divisors, whose sum is σ = 4093000704. Its totient is φ = 352834560.

The previous prime is 1242190613. The next prime is 1242190681. The reversal of 1242190656 is 6560912421.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1242190656.

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, 769306 + ... + 770918.

Almost surely, 21242190656 is an apocalyptic number.

1242190656 is a gapful number since it is divisible by the number (16) 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 1242190656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2046500352).

1242190656 is an abundant number, since it is smaller than the sum of its proper divisors (2850810048).

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

1242190656 is a wasteful number, since it uses less digits than its factorization.

1242190656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1242190656 is about 35244.7252223648. The cubic root of 1242190656 is about 1074.9693608718.

The spelling of 1242190656 in words is "one billion, two hundred forty-two million, one hundred ninety thousand, six hundred fifty-six".