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20893488 = 2437115653
BaseRepresentation
bin100111110110…
…0111100110000
31110022111110220
41033230330300
520322042423
62023453040
7342406650
oct117547460
943274426
1020893488
1110880650
126bb7180
134437015
142abc360
151c7a9e3
hex13ecf30

20893488 has 80 divisors (see below), whose sum is σ = 67305216. Its totient is φ = 5425920.

The previous prime is 20893487. The next prime is 20893489. The reversal of 20893488 is 88439802.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20893487) and next prime (20893489).

It is a super-2 number, since 2×208934882 = 873075681612288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (20893487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 870 + ... + 6522.

Almost surely, 220893488 is an apocalyptic number.

20893488 is a gapful number since it is divisible by the number (28) 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 20893488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33652608).

20893488 is an abundant number, since it is smaller than the sum of its proper divisors (46411728).

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

20893488 is a wasteful number, since it uses less digits than its factorization.

20893488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5682 (or 5676 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 20893488 is about 4570.9395095538. The cubic root of 20893488 is about 275.4251846963.

The spelling of 20893488 in words is "twenty million, eight hundred ninety-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 5653 11306 16959 22612 33918 39571 45224 62183 67836 79142 90448 118713 124366 135672 158284 186549 237426 248732 271344 316568 373098 435281 474852 497464 633136 746196 870562 949704 994928 1305843 1492392 1741124 1899408 2611686 2984784 3482248 5223372 6964496 10446744 20893488