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1420748640 = 253352379181
BaseRepresentation
bin101010010101110…
…1110011101100000
310200000101111202000
41110223232131200
510402202424030
6352551324000
750131110213
oct12453563540
93600344660
101420748640
11669a80533
12337980600
1319846488c
14d699377a
1584ae2860
hex54aee760

1420748640 has 384 divisors, whose sum is σ = 5283532800. Its totient is φ = 355829760.

The previous prime is 1420748627. The next prime is 1420748647. The reversal of 1420748640 is 468470241.

1420748640 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 7 + 4 + 8 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1420748595 and 1420748604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1420748647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7849350 + ... + 7849530.

It is an arithmetic number, because the mean of its divisors is an integer number (13759200).

Almost surely, 21420748640 is an apocalyptic number.

1420748640 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 1420748640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2641766400).

1420748640 is an abundant number, since it is smaller than the sum of its proper divisors (3862784160).

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

1420748640 is a wasteful number, since it uses less digits than its factorization.

1420748640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 1420748640 is about 37692.8194753324. The cubic root of 1420748640 is about 1124.1883567944.

The spelling of 1420748640 in words is "one billion, four hundred twenty million, seven hundred forty-eight thousand, six hundred forty".