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20497082240 = 275172110819
BaseRepresentation
bin10011000101101110…
…001010011110000000
31221220110212122220002
4103011232022132000
5313434223112430
613225523335132
71323636216155
oct230556123600
957813778802
1020497082240
118769083298
123b805214a8
131c1867a93b
14dc631c22c
157ee709845
hex4c5b8a780

20497082240 has 96 divisors (see below), whose sum is σ = 52053262200. Its totient is φ = 7716478976.

The previous prime is 20497082237. The next prime is 20497082279. The reversal of 20497082240 is 4228079402.

It is a junction number, because it is equal to n+sod(n) for n = 20497082194 and 20497082203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129551 + ... + 240369.

Almost surely, 220497082240 is an apocalyptic number.

20497082240 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 20497082240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26026631100).

20497082240 is an abundant number, since it is smaller than the sum of its proper divisors (31556179960).

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

20497082240 is a wasteful number, since it uses less digits than its factorization.

20497082240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110872 (or 110843 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The spelling of 20497082240 in words is "twenty billion, four hundred ninety-seven million, eighty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 272 289 320 340 544 578 640 680 1088 1156 1360 1445 2176 2312 2720 2890 4624 5440 5780 9248 10880 11560 18496 23120 36992 46240 92480 110819 184960 221638 443276 554095 886552 1108190 1773104 1883923 2216380 3546208 3767846 4432760 7092416 7535692 8865520 9419615 14184832 15071384 17731040 18839230 30142768 32026691 35462080 37678460 60285536 64053382 70924160 75356920 120571072 128106764 150713840 160133455 241142144 256213528 301427680 320266910 512427056 602855360 640533820 1024854112 1205710720 1281067640 2049708224 2562135280 4099416448 5124270560 10248541120 20497082240