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20678232 = 23319137331
BaseRepresentation
bin100111011100…
…0011001011000
31102220120012110
41032320121120
520243200412
62015112320
7340522251
oct116703130
942816173
1020678232
1110743953
126b126a0
134390053
142a63b28
151c36d3c
hex13b8658

20678232 has 64 divisors (see below), whose sum is σ = 54979200. Its totient is φ = 6462720.

The previous prime is 20678197. The next prime is 20678263. The reversal of 20678232 is 23287602.

It is a self number, because there is not a number n which added to its sum of digits gives 20678232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62307 + ... + 62637.

It is an arithmetic number, because the mean of its divisors is an integer number (859050).

Almost surely, 220678232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20678232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27489600).

20678232 is an abundant number, since it is smaller than the sum of its proper divisors (34300968).

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

20678232 is a wasteful number, since it uses less digits than its factorization.

20678232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 20678232 is about 4547.3324048281. The cubic root of 20678232 is about 274.4760580444.

It can be divided in two parts, 20678 and 232, that added together give a triangular number (20910 = T204).

The spelling of 20678232 in words is "twenty million, six hundred seventy-eight thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 137 152 228 274 331 411 456 548 662 822 993 1096 1324 1644 1986 2603 2648 3288 3972 5206 6289 7809 7944 10412 12578 15618 18867 20824 25156 31236 37734 45347 50312 62472 75468 90694 136041 150936 181388 272082 362776 544164 861593 1088328 1723186 2584779 3446372 5169558 6892744 10339116 20678232