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20738088 = 23327231789
BaseRepresentation
bin100111100011…
…1000000101000
31110000121022100
41033013000220
520302104323
62020253400
7341161620
oct117070050
943017270
1020738088
1110784918
126b41260
1343b1377
142a7b880
151c49943
hex13c7028

20738088 has 96 divisors (see below), whose sum is σ = 67017600. Its totient is φ = 5664384.

The previous prime is 20738057. The next prime is 20738119. The reversal of 20738088 is 88083702.

It is an interprime number because it is at equal distance from previous prime (20738057) and next prime (20738119).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10698 + ... + 12486.

It is an arithmetic number, because the mean of its divisors is an integer number (698100).

Almost surely, 220738088 is an apocalyptic number.

20738088 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 20738088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33508800).

20738088 is an abundant number, since it is smaller than the sum of its proper divisors (46279512).

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

20738088 is a wasteful number, since it uses less digits than its factorization.

20738088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1831 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 20738088 is about 4553.9090900017. The cubic root of 20738088 is about 274.7406392125.

The spelling of 20738088 in words is "twenty million, seven hundred thirty-eight thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 56 63 69 72 84 92 126 138 161 168 184 207 252 276 322 414 483 504 552 644 828 966 1288 1449 1656 1789 1932 2898 3578 3864 5367 5796 7156 10734 11592 12523 14312 16101 21468 25046 32202 37569 41147 42936 50092 64404 75138 82294 100184 112707 123441 128808 150276 164588 225414 246882 288029 300552 329176 370323 450828 493764 576058 740646 864087 901656 987528 1152116 1481292 1728174 2304232 2592261 2962584 3456348 5184522 6912696 10369044 20738088