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20975136 = 2537513
BaseRepresentation
bin101000000000…
…0111000100000
31110110122110220
41100000320200
520332201021
62025323040
7343200000
oct120007040
943418426
1020975136
1110926a26
127036480
134465230
142b00000
151c94cc6
hex1400e20

20975136 has 144 divisors (see below), whose sum is σ = 69177024. Its totient is φ = 5531904.

The previous prime is 20975131. The next prime is 20975137. The reversal of 20975136 is 63157902.

It is a junction number, because it is equal to n+sod(n) for n = 20975097 and 20975106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20975131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1613466 + ... + 1613478.

It is an arithmetic number, because the mean of its divisors is an integer number (480396).

Almost surely, 220975136 is an apocalyptic number.

20975136 is a gapful number since it is divisible by the number (26) 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 20975136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34588512).

20975136 is an abundant number, since it is smaller than the sum of its proper divisors (48201888).

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

20975136 is an frugal number, since it uses more digits than its factorization.

20975136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 20975136 is about 4579.8620066548. The cubic root of 20975136 is about 275.7834890955.

The spelling of 20975136 in words is "twenty million, nine hundred seventy-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 49 52 56 78 84 91 96 98 104 112 147 156 168 182 196 208 224 273 294 312 336 343 364 392 416 546 588 624 637 672 686 728 784 1029 1092 1176 1248 1274 1372 1456 1568 1911 2058 2184 2352 2401 2548 2744 2912 3822 4116 4368 4459 4704 4802 5096 5488 7203 7644 8232 8736 8918 9604 10192 10976 13377 14406 15288 16464 16807 17836 19208 20384 26754 28812 30576 31213 32928 33614 35672 38416 50421 53508 57624 61152 62426 67228 71344 76832 93639 100842 107016 115248 124852 134456 142688 187278 201684 214032 218491 230496 249704 268912 374556 403368 428064 436982 499408 537824 655473 749112 806736 873964 998816 1310946 1498224 1613472 1747928 2621892 2996448 3495856 5243784 6991712 10487568 20975136