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420519840 = 25351367391
BaseRepresentation
bin11001000100001…
…001111110100000
31002022021121202220
4121010021332200
51330123113330
6105421111040
713264234236
oct3104117640
91068247686
10420519840
111a6410864
12b89b8480
1369177510
143dbc6956
1526db8710
hex19109fa0

420519840 has 96 divisors (see below), whose sum is σ = 1426553856. Its totient is φ = 103511040.

The previous prime is 420519823. The next prime is 420519877. The reversal of 420519840 is 48915024.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27456 + ... + 39935.

It is an arithmetic number, because the mean of its divisors is an integer number (14859936).

Almost surely, 2420519840 is an apocalyptic number.

420519840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420519840 is an abundant number, since it is smaller than the sum of its proper divisors (1006034016).

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

420519840 is a wasteful number, since it uses less digits than its factorization.

420519840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67422 (or 67414 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 420519840 is about 20506.5804072741. The cubic root of 420519840 is about 749.1960808154.

The spelling of 420519840 in words is "four hundred twenty million, five hundred nineteen thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 67391 134782 202173 269564 336955 404346 539128 673910 808692 876083 1010865 1078256 1347820 1617384 1752166 2021730 2156512 2628249 2695640 3234768 3504332 4043460 4380415 5256498 5391280 6469536 7008664 8086920 8760830 10512996 10782560 13141245 14017328 16173840 17521660 21025992 26282490 28034656 32347680 35043320 42051984 52564980 70086640 84103968 105129960 140173280 210259920 420519840