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1242600912 = 243871989
BaseRepresentation
bin100101000010000…
…1001010111010000
310012121011200000000
41022010021113100
510021101212122
6323145130000
742535635120
oct11204112720
93177150000
101242600912
11588463503
122a8189900
1316a58bb17
14bb05cc80
15741530ac
hex4a1095d0

1242600912 has 360 divisors, whose sum is σ = 4393022400. Its totient is φ = 332563968.

The previous prime is 1242600901. The next prime is 1242600973. The reversal of 1242600912 is 2190062421.

1242600912 is a `hidden beast` number, since 1 + 2 + 42 + 600 + 9 + 12 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13961764 + ... + 13961852.

It is an arithmetic number, because the mean of its divisors is an integer number (12202840).

Almost surely, 21242600912 is an apocalyptic number.

1242600912 is a gapful number since it is divisible by the number (12) 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 1242600912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2196511200).

1242600912 is an abundant number, since it is smaller than the sum of its proper divisors (3150421488).

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

1242600912 is an frugal number, since it uses more digits than its factorization.

1242600912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1242600912 is about 35250.5448468531. The cubic root of 1242600912 is about 1075.0876905571.

The spelling of 1242600912 in words is "one billion, two hundred forty-two million, six hundred thousand, nine hundred twelve".