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1242467100 = 2234527171289
BaseRepresentation
bin100101000001110…
…1000101100011100
310012120220212110000
41022003220230130
510021032421400
6323142214300
742534540030
oct11203505434
93176825400
101242467100
11588381a16
122a8124390
1316a542c44
14bb0261c0
1574128600
hex4a0e8b1c

1242467100 has 360 divisors, whose sum is σ = 4877500320. Its totient is φ = 267079680.

The previous prime is 1242467099. The next prime is 1242467113. The reversal of 1242467100 is 17642421.

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 (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 963256 + ... + 964544.

It is an arithmetic number, because the mean of its divisors is an integer number (13548612).

Almost surely, 21242467100 is an apocalyptic number.

1242467100 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 1242467100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2438750160).

1242467100 is an abundant number, since it is smaller than the sum of its proper divisors (3635033220).

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

1242467100 is a wasteful number, since it uses less digits than its factorization.

1242467100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1242467100 is about 35248.6467825362. The cubic root of 1242467100 is about 1075.0490981722.

It can be divided in two parts, 12424 and 67100, that added together give a square (79524 = 2822).

The spelling of 1242467100 in words is "one billion, two hundred forty-two million, four hundred sixty-seven thousand, one hundred".