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419720077 = 7236142737
BaseRepresentation
bin11001000001000…
…110101110001101
31002020202222201001
4121001012232031
51324422020302
6105352020301
713254363460
oct3101065615
91066688631
10419720077
111a5a149a7
12b8691691
1368c5749a
143da592d7
1526cab787
hex19046b8d

419720077 has 16 divisors (see below), whose sum is σ = 508753152. Its totient is φ = 338469120.

The previous prime is 419720071. The next prime is 419720083. The reversal of 419720077 is 770027914.

It is an interprime number because it is at equal distance from previous prime (419720071) and next prime (419720083).

It is a cyclic number.

It is not a de Polignac number, because 419720077 - 215 = 419687309 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419720071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11548 + ... + 31189.

It is an arithmetic number, because the mean of its divisors is an integer number (31797072).

Almost surely, 2419720077 is an apocalyptic number.

It is an amenable number.

419720077 is a deficient number, since it is larger than the sum of its proper divisors (89033075).

419720077 is a wasteful number, since it uses less digits than its factorization.

419720077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42828.

The product of its (nonzero) digits is 24696, while the sum is 37.

The square root of 419720077 is about 20487.0709717129. The cubic root of 419720077 is about 748.7208281254.

The spelling of 419720077 in words is "four hundred nineteen million, seven hundred twenty thousand, seventy-seven".

Divisors: 1 7 23 61 161 427 1403 9821 42737 299159 982951 2606957 6880657 18248699 59960011 419720077