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1242600480 = 253351179331
BaseRepresentation
bin100101000010000…
…1001010000100000
310012121011122102000
41022010021100200
510021101203410
6323145124000
742535633632
oct11204112040
93177148360
101242600480
11588463150
122a8189600
1316a58b874
14bb05ca52
1574152dc0
hex4a109420

1242600480 has 384 divisors, whose sum is σ = 4819046400. Its totient is φ = 296524800.

The previous prime is 1242600479. The next prime is 1242600481. The reversal of 1242600480 is 840062421.

1242600480 is a `hidden beast` number, since 12 + 4 + 2 + 600 + 48 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1242600479) and next prime (1242600481).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1242600481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3753915 + ... + 3754245.

It is an arithmetic number, because the mean of its divisors is an integer number (12549600).

Almost surely, 21242600480 is an apocalyptic number.

1242600480 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 1242600480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2409523200).

1242600480 is an abundant number, since it is smaller than the sum of its proper divisors (3576445920).

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

1242600480 is a wasteful number, since it uses less digits than its factorization.

1242600480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1242600480 is about 35250.5387192877. The cubic root of 1242600480 is about 1075.0875659695.

The spelling of 1242600480 in words is "one billion, two hundred forty-two million, six hundred thousand, four hundred eighty".