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1242673920 = 2833541877
BaseRepresentation
bin100101000010001…
…1011001100000000
310012121022101011000
41022010123030000
510021111031140
6323150452000
742536361015
oct11204331400
93177271130
101242673920
11588503344
122a8204000
1316a5b6117
14bb07b70c
1574169a30
hex4a11b300

1242673920 has 288 divisors, whose sum is σ = 4522472640. Its totient is φ = 322928640.

The previous prime is 1242673909. The next prime is 1242673951. The reversal of 1242673920 is 293762421.

1242673920 is a `hidden beast` number, since 1 + 2 + 4 + 267 + 392 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1416522 + ... + 1417398.

It is an arithmetic number, because the mean of its divisors is an integer number (15703030).

Almost surely, 21242673920 is an apocalyptic number.

1242673920 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 1242673920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2261236320).

1242673920 is an abundant number, since it is smaller than the sum of its proper divisors (3279798720).

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

1242673920 is an equidigital number, since it uses as much as digits as its factorization.

1242673920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1242673920 is about 35251.5803901045. The cubic root of 1242673920 is about 1075.1087454440.

The spelling of 1242673920 in words is "one billion, two hundred forty-two million, six hundred seventy-three thousand, nine hundred twenty".