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20744360 = 23571341139
BaseRepresentation
bin100111100100…
…0100010101000
31110000220220122
41033020202220
520302304420
62020342412
7341216120
oct117104250
943026818
1020744360
11107895aa
126b44a08
1343b4190
142a7dc80
151c4b725
hex13c88a8

20744360 has 128 divisors (see below), whose sum is σ = 59270400. Its totient is φ = 6359040.

The previous prime is 20744327. The next prime is 20744377. The reversal of 20744360 is 6344702.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149171 + ... + 149309.

It is an arithmetic number, because the mean of its divisors is an integer number (463050).

Almost surely, 220744360 is an apocalyptic number.

20744360 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 20744360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29635200).

20744360 is an abundant number, since it is smaller than the sum of its proper divisors (38526040).

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

20744360 is a wasteful number, since it uses less digits than its factorization.

20744360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 26.

The square root of 20744360 is about 4554.5976770731. The cubic root of 20744360 is about 274.7683338196.

The spelling of 20744360 in words is "twenty million, seven hundred forty-four thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 41 52 56 65 70 82 91 104 130 139 140 164 182 205 260 278 280 287 328 364 410 455 520 533 556 574 695 728 820 910 973 1066 1112 1148 1390 1435 1640 1807 1820 1946 2132 2296 2665 2780 2870 3614 3640 3731 3892 4264 4865 5330 5560 5699 5740 7228 7462 7784 9035 9730 10660 11398 11480 12649 14456 14924 18070 18655 19460 21320 22796 25298 28495 29848 36140 37310 38920 39893 45592 50596 56990 63245 72280 74087 74620 79786 101192 113980 126490 148174 149240 159572 199465 227960 252980 296348 319144 370435 398930 505960 518609 592696 740870 797860 1037218 1481740 1595720 2074436 2593045 2963480 4148872 5186090 10372180 20744360