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20754630 = 23751373
BaseRepresentation
bin100111100101…
…1000011000110
31110001110000000
41033023003012
520303122010
62020502130
7341261061
oct117130306
943043000
1020754630
1110796296
126b4a946
1343b8a60
142a838d8
151c4e7c0
hex13cb0c6

20754630 has 128 divisors (see below), whose sum is σ = 61165440. Its totient is φ = 5038848.

The previous prime is 20754623. The next prime is 20754653. The reversal of 20754630 is 3645702.

It is a happy number.

20754630 is a `hidden beast` number, since 20 + 7 + 5 + 4 + 630 = 666.

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

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 20754594 and 20754603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 284274 + ... + 284346.

It is an arithmetic number, because the mean of its divisors is an integer number (477855).

Almost surely, 220754630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20754630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30582720).

20754630 is an abundant number, since it is smaller than the sum of its proper divisors (40410810).

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

20754630 is an equidigital number, since it uses as much as digits as its factorization.

20754630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 20754630 is about 4555.7249697496. The cubic root of 20754630 is about 274.8136699212.

The spelling of 20754630 in words is "twenty million, seven hundred fifty-four thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 73 78 81 90 117 130 135 146 162 195 219 234 243 270 351 365 390 405 438 486 585 657 702 729 730 810 949 1053 1095 1170 1215 1314 1458 1755 1898 1971 2106 2187 2190 2430 2847 3159 3285 3510 3645 3942 4374 4745 5265 5694 5913 6318 6570 7290 8541 9477 9490 9855 10530 10935 11826 14235 15795 17082 17739 18954 19710 21870 25623 28431 28470 29565 31590 35478 42705 47385 51246 53217 56862 59130 76869 85410 88695 94770 106434 128115 142155 153738 159651 177390 230607 256230 266085 284310 319302 384345 461214 532170 691821 768690 798255 1153035 1383642 1596510 2075463 2306070 3459105 4150926 6918210 10377315 20754630