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20058984 = 233211193143
BaseRepresentation
bin100110010000…
…1001101101000
31101202002202100
41030201031220
520113341414
61553533400
7332333001
oct114411550
941662670
1020058984
1110360680
126874260
13420422a
1429421a8
151b63609
hex1321368

20058984 has 192 divisors, whose sum is σ = 65894400. Its totient is φ = 5443200.

The previous prime is 20058977. The next prime is 20059007. The reversal of 20058984 is 48985002.

It is a super-2 number, since 2×200589842 = 804725678224512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 466467 + ... + 466509.

It is an arithmetic number, because the mean of its divisors is an integer number (343200).

Almost surely, 220058984 is an apocalyptic number.

20058984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20058984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32947200).

20058984 is an abundant number, since it is smaller than the sum of its proper divisors (45835416).

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

20058984 is a wasteful number, since it uses less digits than its factorization.

20058984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 20058984 is about 4478.7257116283. The cubic root of 20058984 is about 271.7083451095.

The spelling of 20058984 in words is "twenty million, fifty-eight thousand, nine hundred eighty-four".