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1439971920 = 2432537191283
BaseRepresentation
bin101010111010100…
…0011101001010000
310201100120011010100
41111311003221100
510422113100140
6354515332400
750453362602
oct12565035120
93640504110
101439971920
11679910242
123422b1100
1319c4355ba
14d9359172
158663d530
hex55d43a50

1439971920 has 240 divisors, whose sum is σ = 5010250752. Its totient is φ = 370344960.

The previous prime is 1439971913. The next prime is 1439971931. The reversal of 1439971920 is 291799341.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5088099 + ... + 5088381.

Almost surely, 21439971920 is an apocalyptic number.

1439971920 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 1439971920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2505125376).

1439971920 is an abundant number, since it is smaller than the sum of its proper divisors (3570278832).

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

1439971920 is a wasteful number, since it uses less digits than its factorization.

1439971920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 1439971920 is about 37946.9619337306. The cubic root of 1439971920 is about 1129.2358945285.

The spelling of 1439971920 in words is "one billion, four hundred thirty-nine million, nine hundred seventy-one thousand, nine hundred twenty".