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20464080 = 2435713937
BaseRepresentation
bin100111000010…
…0000111010000
31102111200102220
41032010013100
520214322310
62010341040
7335641020
oct116040720
942450386
1020464080
1110607a6a
126a2a780
134316730
142a09a80
151be3670
hex13841d0

20464080 has 160 divisors (see below), whose sum is σ = 78161664. Its totient is φ = 4313088.

The previous prime is 20464063. The next prime is 20464099. The reversal of 20464080 is 8046402.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20464080.

It is a congruent number.

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, 21372 + ... + 22308.

Almost surely, 220464080 is an apocalyptic number.

20464080 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 20464080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39080832).

20464080 is an abundant number, since it is smaller than the sum of its proper divisors (57697584).

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

20464080 is a wasteful number, since it uses less digits than its factorization.

20464080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 20464080 is about 4523.7241295198. The cubic root of 20464080 is about 273.5252403382.

The spelling of 20464080 in words is "twenty million, four hundred sixty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 35 39 40 42 48 52 56 60 65 70 78 80 84 91 104 105 112 120 130 140 156 168 182 195 208 210 240 260 273 280 312 336 364 390 420 455 520 546 560 624 728 780 840 910 937 1040 1092 1365 1456 1560 1680 1820 1874 2184 2730 2811 3120 3640 3748 4368 4685 5460 5622 6559 7280 7496 9370 10920 11244 12181 13118 14055 14992 18740 19677 21840 22488 24362 26236 28110 32795 36543 37480 39354 44976 48724 52472 56220 60905 65590 73086 74960 78708 85267 97448 98385 104944 112440 121810 131180 146172 157416 170534 182715 194896 196770 224880 243620 255801 262360 292344 314832 341068 365430 393540 426335 487240 511602 524720 584688 682136 730860 787080 852670 974480 1023204 1279005 1364272 1461720 1574160 1705340 2046408 2558010 2923440 3410680 4092816 5116020 6821360 10232040 20464080