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20879232 = 273114943
BaseRepresentation
bin100111110100…
…1011110000000
31110021202220220
41033221132000
520321113412
62023303040
7342320253
oct117513600
943252826
1020879232
1110870970
126baaa80
13443069a
142ab709a
151c7668c
hex13e9780

20879232 has 64 divisors (see below), whose sum is σ = 60514560. Its totient is φ = 6325760.

The previous prime is 20879227. The next prime is 20879251. The reversal of 20879232 is 23297802.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 20879193 and 20879202.

It is a congruent number.

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, 1753 + ... + 6695.

It is an arithmetic number, because the mean of its divisors is an integer number (945540).

Almost surely, 220879232 is an apocalyptic number.

20879232 is a gapful number since it is divisible by the number (22) 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 20879232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30257280).

20879232 is an abundant number, since it is smaller than the sum of its proper divisors (39635328).

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

20879232 is a wasteful number, since it uses less digits than its factorization.

20879232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4971 (or 4959 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 20879232 is about 4569.3798266286. The cubic root of 20879232 is about 275.3625279360.

The spelling of 20879232 in words is "twenty million, eight hundred seventy-nine thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 4943 9886 14829 19772 29658 39544 54373 59316 79088 108746 118632 158176 163119 217492 237264 316352 326238 434984 474528 632704 652476 869968 949056 1304952 1739936 1898112 2609904 3479872 5219808 6959744 10439616 20879232