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420153700 = 22524201537
BaseRepresentation
bin11001000010110…
…000100101100100
31002021121000112011
4121002300211210
51330024404300
6105405204004
713261150621
oct3102604544
91067530464
10420153700
111a619076a
12b8860604
1369079975
143db2d348
1526d44eba
hex190b0964

420153700 has 18 divisors (see below), whose sum is σ = 911733746. Its totient is φ = 168061440.

The previous prime is 420153667. The next prime is 420153733. The reversal of 420153700 is 7351024.

It is an interprime number because it is at equal distance from previous prime (420153667) and next prime (420153733).

It can be written as a sum of positive squares in 3 ways, for example, as 140327716 + 279825984 = 11846^2 + 16728^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2100669 + ... + 2100868.

Almost surely, 2420153700 is an apocalyptic number.

It is an amenable number.

420153700 is an abundant number, since it is smaller than the sum of its proper divisors (491580046).

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

420153700 is a wasteful number, since it uses less digits than its factorization.

420153700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4201551 (or 4201544 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 420153700 is about 20497.6510849414. The cubic root of 420153700 is about 748.9785799366.

The spelling of 420153700 in words is "four hundred twenty million, one hundred fifty-three thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 100 4201537 8403074 16806148 21007685 42015370 84030740 105038425 210076850 420153700