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1242450240 = 26353183503
BaseRepresentation
bin100101000001110…
…0100100101000000
310012120220000022120
41022003210211000
510021031401430
6323142004240
742534436623
oct11203444500
93176800276
101242450240
11588370289
122a8116680
1316a538375
14bb01ddba
1574123610
hex4a0e4940

1242450240 has 224 divisors, whose sum is σ = 4129284096. Its totient is φ = 316139520.

The previous prime is 1242450239. The next prime is 1242450247. The reversal of 1242450240 is 420542421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1242450240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1242450247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2469829 + ... + 2470331.

It is an arithmetic number, because the mean of its divisors is an integer number (18434304).

Almost surely, 21242450240 is an apocalyptic number.

1242450240 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 1242450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2064642048).

1242450240 is an abundant number, since it is smaller than the sum of its proper divisors (2886833856).

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

1242450240 is a wasteful number, since it uses less digits than its factorization.

1242450240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 1242450240 is about 35248.4076236076. The cubic root of 1242450240 is about 1075.0442354251.

Adding to 1242450240 its reverse (420542421), we get a palindrome (1662992661).

The spelling of 1242450240 in words is "one billion, two hundred forty-two million, four hundred fifty thousand, two hundred forty".