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1420124160 = 21335713127
BaseRepresentation
bin101010010100101…
…0110000000000000
310122222012210010010
41110221112000000
510402022433120
6352530104520
750122566450
oct12451260000
93588183103
101420124160
11669694334
1233771b140
131982a6570
14d686dd60
1584a1c7e0
hex54a56000

1420124160 has 448 divisors, whose sum is σ = 5636800512. Its totient is φ = 297271296.

The previous prime is 1420124143. The next prime is 1420124177. The reversal of 1420124160 is 614210241.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1420124143) and next prime (1420124177).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 11182017 + ... + 11182143.

It is an arithmetic number, because the mean of its divisors is an integer number (12582144).

Almost surely, 21420124160 is an apocalyptic number.

1420124160 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 1420124160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2818400256).

1420124160 is an abundant number, since it is smaller than the sum of its proper divisors (4216676352).

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

1420124160 is a wasteful number, since it uses less digits than its factorization.

1420124160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1420124160 is about 37684.5347589698. The cubic root of 1420124160 is about 1124.0236229801.

The spelling of 1420124160 in words is "one billion, four hundred twenty million, one hundred twenty-four thousand, one hundred sixty".