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420980501 = 2927535273
BaseRepresentation
bin11001000101111…
…010011100010101
31002100011000200102
4121011322130111
51330232334001
6105435023445
713301163254
oct3105723425
91070130612
10420980501
111a66a5977
12b8b9ab85
13692a90b6
143dca679b
1526e59e6b
hex1917a715

420980501 has 8 divisors (see below), whose sum is σ = 435737880. Its totient is φ = 406239232.

The previous prime is 420980491. The next prime is 420980509. The reversal of 420980501 is 105089024.

It can be written as a sum of positive squares in 4 ways, for example, as 158508100 + 262472401 = 12590^2 + 16201^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-420980501 is a prime.

It is a super-2 number, since 2×4209805012 = 354449164444422002, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420980509) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77201 + ... + 82473.

It is an arithmetic number, because the mean of its divisors is an integer number (54467235).

Almost surely, 2420980501 is an apocalyptic number.

It is an amenable number.

420980501 is a deficient number, since it is larger than the sum of its proper divisors (14757379).

420980501 is a wasteful number, since it uses less digits than its factorization.

420980501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8055.

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 420980501 is about 20517.8093616253. The cubic root of 420980501 is about 749.4695514394.

The spelling of 420980501 in words is "four hundred twenty million, nine hundred eighty thousand, five hundred one".

Divisors: 1 29 2753 5273 79837 152917 14516569 420980501