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420153520 = 2455251919
BaseRepresentation
bin11001000010110…
…000100010110000
31002021121000021111
4121002300202300
51330024403040
6105405203104
713261150243
oct3102604260
91067530244
10420153520
111a6190616
12b8860494
1369079867
143db2d25a
1526d44dea
hex190b08b0

420153520 has 20 divisors (see below), whose sum is σ = 976857120. Its totient is φ = 168061376.

The previous prime is 420153497. The next prime is 420153529. The reversal of 420153520 is 25351024.

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 420153491 and 420153500.

It is not an unprimeable number, because it can be changed into a prime (420153529) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2625880 + ... + 2626039.

It is an arithmetic number, because the mean of its divisors is an integer number (48842856).

Almost surely, 2420153520 is an apocalyptic number.

420153520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420153520 is an abundant number, since it is smaller than the sum of its proper divisors (556703600).

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

420153520 is a wasteful number, since it uses less digits than its factorization.

420153520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5251932 (or 5251926 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 420153520 is about 20497.6466941939. The cubic root of 420153520 is about 748.9784729788.

The spelling of 420153520 in words is "four hundred twenty million, one hundred fifty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 5251919 10503838 21007676 26259595 42015352 52519190 84030704 105038380 210076760 420153520