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20691288 = 233437863
BaseRepresentation
bin100111011101…
…1100101011000
31102221020010000
41032323211120
520244110123
62015253000
7340605312
oct116734530
942836100
1020691288
1110752742
126b1a160
134395c87
142a687b2
151c3ab43
hex13bb958

20691288 has 80 divisors (see below), whose sum is σ = 59590080. Its totient is φ = 6702912.

The previous prime is 20691287. The next prime is 20691289. The reversal of 20691288 is 88219602.

It is an interprime number because it is at equal distance from previous prime (20691287) and next prime (20691289).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20691287) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23545 + ... + 24407.

It is an arithmetic number, because the mean of its divisors is an integer number (744876).

Almost surely, 220691288 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 20691288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29795040).

20691288 is an abundant number, since it is smaller than the sum of its proper divisors (38898792).

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

20691288 is a wasteful number, since it uses less digits than its factorization.

20691288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 20691288 is about 4548.7677452251. The cubic root of 20691288 is about 274.5338129090.

The spelling of 20691288 in words is "twenty million, six hundred ninety-one thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 81 108 111 148 162 216 222 296 324 333 444 648 666 863 888 999 1332 1726 1998 2589 2664 2997 3452 3996 5178 5994 6904 7767 7992 10356 11988 15534 20712 23301 23976 31068 31931 46602 62136 63862 69903 93204 95793 127724 139806 186408 191586 255448 279612 287379 383172 559224 574758 766344 862137 1149516 1724274 2299032 2586411 3448548 5172822 6897096 10345644 20691288