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20978370 = 2325726771
BaseRepresentation
bin101000000000…
…1101011000010
31110110210220200
41100001223002
520332301440
62025350030
7343212300
oct120015302
943423820
1020978370
11109293a6
127038316
13446684a
142b01270
151c95c30
hex1401ac2

20978370 has 144 divisors (see below), whose sum is σ = 65302848. Its totient is φ = 4656960.

The previous prime is 20978359. The next prime is 20978383. The reversal of 20978370 is 7387902.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 295435 + ... + 295505.

It is an arithmetic number, because the mean of its divisors is an integer number (453492).

Almost surely, 220978370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20978370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32651424).

20978370 is an abundant number, since it is smaller than the sum of its proper divisors (44324478).

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

20978370 is a wasteful number, since it uses less digits than its factorization.

20978370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 20978370 is about 4580.2150604529. The cubic root of 20978370 is about 275.7976620345.

The spelling of 20978370 in words is "twenty million, nine hundred seventy-eight thousand, three hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 67 70 71 90 98 105 126 134 142 147 201 210 213 245 294 315 335 355 402 426 441 469 490 497 603 630 639 670 710 735 882 938 994 1005 1065 1206 1278 1407 1470 1491 2010 2130 2205 2345 2485 2814 2982 3015 3195 3283 3479 4221 4410 4473 4690 4757 4970 6030 6390 6566 6958 7035 7455 8442 8946 9514 9849 10437 14070 14271 14910 16415 17395 19698 20874 21105 22365 23785 28542 29547 31311 32830 33299 34790 42210 42813 44730 47570 49245 52185 59094 62622 66598 71355 85626 98490 99897 104370 142710 147735 156555 166495 199794 214065 233093 295470 299691 313110 332990 428130 466186 499485 599382 699279 998970 1165465 1398558 1498455 2097837 2330930 2996910 3496395 4195674 6992790 10489185 20978370