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420095136 = 25331141161
BaseRepresentation
bin11001000010100…
…010010010100000
31002021111001012010
4121002202102200
51330021021021
6105404032520
713260515106
oct3102422240
91067431163
10420095136
111a615076a
12b8832740
1369059106
143db15c76
1526d32976
hex190a24a0

420095136 has 48 divisors (see below), whose sum is σ = 1138330368. Its totient is φ = 135513600.

The previous prime is 420095129. The next prime is 420095147. The reversal of 420095136 is 631590024.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67605 + ... + 73556.

It is an arithmetic number, because the mean of its divisors is an integer number (23715216).

Almost surely, 2420095136 is an apocalyptic number.

It is an amenable number.

420095136 is an abundant number, since it is smaller than the sum of its proper divisors (718235232).

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

420095136 is a wasteful number, since it uses less digits than its factorization.

420095136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141205 (or 141197 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 420095136 is about 20496.2224812281. Note that the first 3 decimals coincide. The cubic root of 420095136 is about 748.9437790057.

The spelling of 420095136 in words is "four hundred twenty million, ninety-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 141161 282322 423483 564644 846966 1129288 1693932 2258576 3387864 4375991 4517152 6775728 8751982 13127973 13551456 17503964 26255946 35007928 52511892 70015856 105023784 140031712 210047568 420095136