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415420020 = 2232523100343
BaseRepresentation
bin11000110000101…
…100111001110100
31001221200112010200
4120300230321310
51322321420040
6105115520500
713203004041
oct3060547164
91057615120
10415420020
111a3548234
12b7159130
13680b0182
143d25a1c8
152670c630
hex18c2ce74

415420020 has 72 divisors (see below), whose sum is σ = 1314907776. Its totient is φ = 105961152.

The previous prime is 415420013. The next prime is 415420039. The reversal of 415420020 is 20024514.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 415419975 and 415420002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46032 + ... + 54311.

It is an arithmetic number, because the mean of its divisors is an integer number (18262608).

Almost surely, 2415420020 is an apocalyptic number.

It is an amenable number.

415420020 is an abundant number, since it is smaller than the sum of its proper divisors (899487756).

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

415420020 is a wasteful number, since it uses less digits than its factorization.

415420020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100381 (or 100376 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 415420020 is about 20381.8551658086. The cubic root of 415420020 is about 746.1551498515.

Adding to 415420020 its reverse (20024514), we get a palindrome (435444534).

The spelling of 415420020 in words is "four hundred fifteen million, four hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4140 100343 200686 301029 401372 501715 602058 903087 1003430 1204116 1505145 1806174 2006860 2307889 3010290 3612348 4515435 4615778 6020580 6923667 9030870 9231556 11539445 13847334 18061740 20771001 23078890 27694668 34618335 41542002 46157780 69236670 83084004 103855005 138473340 207710010 415420020