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420795960 = 233513269741
BaseRepresentation
bin11001000101001…
…101011000111000
31002022210122112120
4121011031120320
51330210432320
6105431041240
713266464244
oct3105153070
91068718476
10420795960
111a658a262
12b8b10220
13692430c0
143dc59424
1526e20440
hex1914d638

420795960 has 64 divisors (see below), whose sum is σ = 1359499680. Its totient is φ = 103580160.

The previous prime is 420795959. The next prime is 420796007. The reversal of 420795960 is 69597024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133311 + ... + 136430.

Almost surely, 2420795960 is an apocalyptic number.

420795960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420795960 is an abundant number, since it is smaller than the sum of its proper divisors (938703720).

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

420795960 is a wasteful number, since it uses less digits than its factorization.

420795960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269768 (or 269764 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 420795960 is about 20513.3117755276. The cubic root of 420795960 is about 749.3600229501.

The spelling of 420795960 in words is "four hundred twenty million, seven hundred ninety-five thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 269741 539482 809223 1078964 1348705 1618446 2157928 2697410 3236892 3506633 4046115 5394820 6473784 7013266 8092230 10519899 10789640 14026532 16184460 17533165 21039798 28053064 32368920 35066330 42079596 52599495 70132660 84159192 105198990 140265320 210397980 420795960