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1425135600 = 243352722693
BaseRepresentation
bin101010011110001…
…1101011111110000
310200022122101112000
41110330131133300
510404313314400
6353225334000
750213311200
oct12474353760
93608571460
101425135600
116714a7519
12339337300
1319933c605
14d73b6400
15851ac600
hex54f1d7f0

1425135600 has 360 divisors, whose sum is σ = 5902769520. Its totient is φ = 325624320.

The previous prime is 1425135599. The next prime is 1425135601. The reversal of 1425135600 is 65315241.

1425135600 is a `hidden beast` number, since 1 + 4 + 2 + 51 + 3 + 5 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (1425135599) and next prime (1425135601).

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×14251356002 = 4062022956774720000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1425135601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 527854 + ... + 530546.

It is an arithmetic number, because the mean of its divisors is an integer number (16396582).

Almost surely, 21425135600 is an apocalyptic number.

1425135600 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 1425135600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2951384760).

1425135600 is an abundant number, since it is smaller than the sum of its proper divisors (4477633920).

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

1425135600 is a wasteful number, since it uses less digits than its factorization.

1425135600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2734 (or 2710 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1425135600 is about 37750.9681995045. The cubic root of 1425135600 is about 1125.3442502042.

The spelling of 1425135600 in words is "one billion, four hundred twenty-five million, one hundred thirty-five thousand, six hundred".