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20194920 = 2334523271
BaseRepresentation
bin100110100001…
…0011001101000
31102000000020000
41031002121220
520132214140
62000503000
7333440214
oct115023150
942000200
1020194920
1110443819
12691aa60
134251075
142979944
151b8da30
hex1342668

20194920 has 160 divisors (see below), whose sum is σ = 71089920. Its totient is φ = 5132160.

The previous prime is 20194903. The next prime is 20194921. The reversal of 20194920 is 2949102.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20194921) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 74385 + ... + 74655.

It is an arithmetic number, because the mean of its divisors is an integer number (444312).

Almost surely, 220194920 is an apocalyptic number.

20194920 is a gapful number since it is divisible by the number (20) 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 20194920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35544960).

20194920 is an abundant number, since it is smaller than the sum of its proper divisors (50895000).

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

20194920 is a wasteful number, since it uses less digits than its factorization.

20194920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 20194920 is about 4493.8758327306. The cubic root of 20194920 is about 272.3207361219.

The spelling of 20194920 in words is "twenty million, one hundred ninety-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 27 30 36 40 45 46 54 60 69 72 81 90 92 108 115 120 135 138 162 180 184 207 216 230 270 271 276 324 345 360 405 414 460 540 542 552 621 648 690 810 813 828 920 1035 1080 1084 1242 1355 1380 1620 1626 1656 1863 2070 2168 2439 2484 2710 2760 3105 3240 3252 3726 4065 4140 4878 4968 5420 6210 6233 6504 7317 7452 8130 8280 9315 9756 10840 12195 12420 12466 14634 14904 16260 18630 18699 19512 21951 24390 24840 24932 29268 31165 32520 36585 37260 37398 43902 48780 49864 56097 58536 62330 73170 74520 74796 87804 93495 97560 109755 112194 124660 146340 149592 168291 175608 186990 219510 224388 249320 280485 292680 336582 373980 439020 448776 504873 560970 673164 747960 841455 878040 1009746 1121940 1346328 1682910 2019492 2243880 2524365 3365820 4038984 5048730 6731640 10097460 20194920