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419322680 = 23571788093
BaseRepresentation
bin11000111111100…
…101101100111000
31002020000210120122
4120333211230320
51324321311210
6105335312412
713251120050
oct3077455470
91066023518
10419322680
111a5773377
12b851b708
1368b4863a
143d994560
1526c2db55
hex18fe5b38

419322680 has 64 divisors (see below), whose sum is σ = 1141698240. Its totient is φ = 135309312.

The previous prime is 419322679. The next prime is 419322689. The reversal of 419322680 is 86223914.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 419322680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419322689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39287 + ... + 48806.

It is an arithmetic number, because the mean of its divisors is an integer number (17839035).

Almost surely, 2419322680 is an apocalyptic number.

419322680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

419322680 is an abundant number, since it is smaller than the sum of its proper divisors (722375560).

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

419322680 is a wasteful number, since it uses less digits than its factorization.

419322680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88128 (or 88124 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 419322680 is about 20477.3699483112. The cubic root of 419322680 is about 748.4844536292.

The spelling of 419322680 in words is "four hundred nineteen million, three hundred twenty-two thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 595 680 952 1190 2380 4760 88093 176186 352372 440465 616651 704744 880930 1233302 1497581 1761860 2466604 2995162 3083255 3523720 4933208 5990324 6166510 7487905 10483067 11980648 12333020 14975810 20966134 24666040 29951620 41932268 52415335 59903240 83864536 104830670 209661340 419322680