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20474400 = 2535219449
BaseRepresentation
bin100111000011…
…0101000100000
31102112012121010
41032012220200
520220140100
62010500520
7336013062
oct116065040
942465533
1020474400
11106147a1
126a34740
13431b33b
142a0d732
151be6750
hex1386a20

20474400 has 144 divisors (see below), whose sum is σ = 70308000. Its totient is φ = 5160960.

The previous prime is 20474371. The next prime is 20474411. The reversal of 20474400 is 447402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45376 + ... + 45824.

It is an arithmetic number, because the mean of its divisors is an integer number (488250).

Almost surely, 220474400 is an apocalyptic number.

20474400 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 20474400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35154000).

20474400 is an abundant number, since it is smaller than the sum of its proper divisors (49833600).

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

20474400 is a wasteful number, since it uses less digits than its factorization.

20474400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 20474400 is about 4524.8646388594. The cubic root of 20474400 is about 273.5712120458.

The spelling of 20474400 in words is "twenty million, four hundred seventy-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 32 38 40 48 50 57 60 75 76 80 95 96 100 114 120 150 152 160 190 200 228 240 285 300 304 380 400 449 456 475 480 570 600 608 760 800 898 912 950 1140 1200 1347 1425 1520 1796 1824 1900 2245 2280 2400 2694 2850 3040 3592 3800 4490 4560 5388 5700 6735 7184 7600 8531 8980 9120 10776 11225 11400 13470 14368 15200 17062 17960 21552 22450 22800 25593 26940 33675 34124 35920 42655 43104 44900 45600 51186 53880 67350 68248 71840 85310 89800 102372 107760 127965 134700 136496 170620 179600 204744 213275 215520 255930 269400 272992 341240 359200 409488 426550 511860 538800 639825 682480 818976 853100 1023720 1077600 1279650 1364960 1706200 2047440 2559300 3412400 4094880 5118600 6824800 10237200 20474400