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20728571240 = 23513172137933
BaseRepresentation
bin10011010011100001…
…001110010101101000
31222111121110112002202
4103103201032111220
5314423003234430
613304513115332
71332446643206
oct232341162550
958447415082
1020728571240
118877813413
124025b58b48
131c5460b890
141008d7a076
15814bd3d45
hex4d384e568

20728571240 has 96 divisors (see below), whose sum is σ = 53355629880. Its totient is φ = 7203360768.

The previous prime is 20728571239. The next prime is 20728571249. The reversal of 20728571240 is 4217582702.

It can be written as a sum of positive squares in 12 ways, for example, as 6400960036 + 14327611204 = 80006^2 + 119698^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20728571194 and 20728571203.

It is not an unprimeable number, because it can be changed into a prime (20728571249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81314 + ... + 219246.

Almost surely, 220728571240 is an apocalyptic number.

20728571240 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 20728571240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26677814940).

20728571240 is an abundant number, since it is smaller than the sum of its proper divisors (32627058640).

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

20728571240 is a wasteful number, since it uses less digits than its factorization.

20728571240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137991 (or 137970 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 38.

The spelling of 20728571240 in words is "twenty billion, seven hundred twenty-eight million, five hundred seventy-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 170 221 260 289 340 442 520 578 680 884 1105 1156 1445 1768 2210 2312 2890 3757 4420 5780 7514 8840 11560 15028 18785 30056 37570 75140 137933 150280 275866 551732 689665 1103464 1379330 1793129 2344861 2758660 3586258 4689722 5517320 7172516 8965645 9379444 11724305 14345032 17931290 18758888 23448610 30483193 35862580 39862637 46897220 60966386 71725160 79725274 93794440 121932772 152415965 159450548 199313185 243865544 304831930 318901096 398626370 518214281 609663860 797252740 1036428562 1219327720 1594505480 2072857124 2591071405 4145714248 5182142810 10364285620 20728571240