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1242695520 = 253451123379
BaseRepresentation
bin100101000010010…
…0000011101100000
310012121100110210000
41022010200131200
510021112224040
6323151140000
742536511003
oct11204403540
93177313700
101242695520
115885185a0
122a8214600
1316a5c2bc1
14bb08553a
1574171130
hex4a120760

1242695520 has 480 divisors, whose sum is σ = 5005566720. Its totient is φ = 287400960.

The previous prime is 1242695491. The next prime is 1242695521. The reversal of 1242695520 is 255962421.

1242695520 is a `hidden beast` number, since 1 + 2 + 42 + 6 + 95 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1242695521) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3278691 + ... + 3279069.

It is an arithmetic number, because the mean of its divisors is an integer number (10428264).

Almost surely, 21242695520 is an apocalyptic number.

1242695520 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 1242695520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2502783360).

1242695520 is an abundant number, since it is smaller than the sum of its proper divisors (3762871200).

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

1242695520 is a wasteful number, since it uses less digits than its factorization.

1242695520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 1242695520 is about 35251.8867580162. The cubic root of 1242695520 is about 1075.1149745424.

The spelling of 1242695520 in words is "one billion, two hundred forty-two million, six hundred ninety-five thousand, five hundred twenty".