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20620440 = 2333561313
BaseRepresentation
bin100111010101…
…0010010011000
31102210121221000
41032222102120
520234323230
62013545000
7340161621
oct116522230
942717830
1020620440
1110704495
126aa5160
13436c959
142a4aa48
151c24b60
hex13aa498

20620440 has 128 divisors (see below), whose sum is σ = 70084800. Its totient is φ = 5391360.

The previous prime is 20620429. The next prime is 20620469. The reversal of 20620440 is 4402602.

20620440 is a `hidden beast` number, since 2 + 0 + 620 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65724 + ... + 66036.

Almost surely, 220620440 is an apocalyptic number.

20620440 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 20620440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35042400).

20620440 is an abundant number, since it is smaller than the sum of its proper divisors (49464360).

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

20620440 is a wasteful number, since it uses less digits than its factorization.

20620440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 20620440 is about 4540.9734639172. The cubic root of 20620440 is about 274.2201154509.

The spelling of 20620440 in words is "twenty million, six hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 61 72 90 108 120 122 135 180 183 216 244 270 305 313 360 366 488 540 549 610 626 732 915 939 1080 1098 1220 1252 1464 1565 1647 1830 1878 2196 2440 2504 2745 2817 3130 3294 3660 3756 4392 4695 5490 5634 6260 6588 7320 7512 8235 8451 9390 10980 11268 12520 13176 14085 16470 16902 18780 19093 21960 22536 28170 32940 33804 37560 38186 42255 56340 57279 65880 67608 76372 84510 95465 112680 114558 152744 169020 171837 190930 229116 286395 338040 343674 381860 458232 515511 572790 687348 763720 859185 1031022 1145580 1374696 1718370 2062044 2291160 2577555 3436740 4124088 5155110 6873480 10310220 20620440