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419078940 = 22357997807
BaseRepresentation
bin11000111110101…
…010001100011100
31002012120102020020
4120332222030130
51324241011230
6105330152140
713246053330
oct3076521434
91065512206
10419078940
111a5617235
12b8422650
1368a91707
143d92d7c0
1526bd1810
hex18faa31c

419078940 has 48 divisors (see below), whose sum is σ = 1341053952. Its totient is φ = 95789376.

The previous prime is 419078939. The next prime is 419078941. The reversal of 419078940 is 49870914.

It is an interprime number because it is at equal distance from previous prime (419078939) and next prime (419078941).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 419078892 and 419078901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419078941) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 498484 + ... + 499323.

It is an arithmetic number, because the mean of its divisors is an integer number (27938624).

Almost surely, 2419078940 is an apocalyptic number.

It is an amenable number.

419078940 is an abundant number, since it is smaller than the sum of its proper divisors (921975012).

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

419078940 is a wasteful number, since it uses less digits than its factorization.

419078940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997826 (or 997824 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 419078940 is about 20471.4176353276. The cubic root of 419078940 is about 748.3394014859.

The spelling of 419078940 in words is "four hundred nineteen million, seventy-eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 997807 1995614 2993421 3991228 4989035 5986842 6984649 9978070 11973684 13969298 14967105 19956140 20953947 27938596 29934210 34923245 41907894 59868420 69846490 83815788 104769735 139692980 209539470 419078940