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629139420 = 2233572133159
BaseRepresentation
bin100101011111111…
…110011111011100
31121211211121001000
4211133332133130
52242024430140
6142232350300
721406411500
oct4537763734
91554747030
10629139420
112a3150838
12156845390
13a045bc60
145d7b0300
153a376a30
hex257fe7dc

629139420 has 576 divisors, whose sum is σ = 2574028800. Its totient is φ = 126282240.

The previous prime is 629139409. The next prime is 629139431. The reversal of 629139420 is 24931926.

629139420 is a `hidden beast` number, since 629 + 1 + 3 + 9 + 4 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (629139409) and next prime (629139431).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10663351 + ... + 10663409.

It is an arithmetic number, because the mean of its divisors is an integer number (4468800).

Almost surely, 2629139420 is an apocalyptic number.

629139420 is a gapful number since it is divisible by the number (60) 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 629139420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287014400).

629139420 is an abundant number, since it is smaller than the sum of its proper divisors (1944889380).

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

629139420 is a wasteful number, since it uses less digits than its factorization.

629139420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 629139420 is about 25082.6517736861. The cubic root of 629139420 is about 856.8713704485.

The spelling of 629139420 in words is "six hundred twenty-nine million, one hundred thirty-nine thousand, four hundred twenty".