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420013260 = 223252333407
BaseRepresentation
bin11001000010001…
…110010011001100
31002021022212212200
4121002032103030
51330010411020
6105402201500
713260024312
oct3102162314
91067285780
10420013260
111a60a51a7
12b87b3290
136902aa74
143dad40b2
1526d18590
hex1908e4cc

420013260 has 36 divisors (see below), whose sum is σ = 1274040768. Its totient is φ = 112003488.

The previous prime is 420013211. The next prime is 420013261. The reversal of 420013260 is 62310024.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×4200132602 = 352822277151655200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (420013261) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1166524 + ... + 1166883.

Almost surely, 2420013260 is an apocalyptic number.

It is an amenable number.

420013260 is an abundant number, since it is smaller than the sum of its proper divisors (854027508).

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

420013260 is a wasteful number, since it uses less digits than its factorization.

420013260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2333422 (or 2333417 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 420013260 is about 20494.2250402400. The cubic root of 420013260 is about 748.8951197856.

Adding to 420013260 its reverse (62310024), we get a palindrome (482323284).

The spelling of 420013260 in words is "four hundred twenty million, thirteen thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2333407 4666814 7000221 9333628 11667035 14000442 21000663 23334070 28000884 35001105 42001326 46668140 70002210 84002652 105003315 140004420 210006630 420013260