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20292888 = 23371179139
BaseRepresentation
bin100110101101…
…0010100011000
31102011222121110
41031122110120
520143333023
62002540320
7334325640
oct115322430
942158543
1020292888
1110500390
1269676a0
134286835
1429a3520
151baca93
hex135a518

20292888 has 128 divisors (see below), whose sum is σ = 64512000. Its totient is φ = 5166720.

The previous prime is 20292869. The next prime is 20292889. The reversal of 20292888 is 88829202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20292889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145923 + ... + 146061.

It is an arithmetic number, because the mean of its divisors is an integer number (504000).

Almost surely, 220292888 is an apocalyptic number.

20292888 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 20292888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32256000).

20292888 is an abundant number, since it is smaller than the sum of its proper divisors (44219112).

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

20292888 is a wasteful number, since it uses less digits than its factorization.

20292888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 20292888 is about 4504.7628128460. The cubic root of 20292888 is about 272.7603795769.

The spelling of 20292888 in words is "twenty million, two hundred ninety-two thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 79 84 88 132 139 154 158 168 231 237 264 278 308 316 417 462 474 553 556 616 632 834 869 924 948 973 1106 1112 1529 1659 1668 1738 1848 1896 1946 2212 2607 2919 3058 3318 3336 3476 3892 4424 4587 5214 5838 6083 6116 6636 6952 7784 9174 10428 10703 10981 11676 12166 12232 13272 18249 18348 20856 21406 21962 23352 24332 32109 32943 36498 36696 42812 43924 48664 64218 65886 72996 76867 85624 87848 120791 128436 131772 145992 153734 230601 241582 256872 263544 307468 362373 461202 483164 614936 724746 845537 922404 966328 1449492 1691074 1844808 2536611 2898984 3382148 5073222 6764296 10146444 20292888