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20342120240 = 2451387722303
BaseRepresentation
bin10010111100011111…
…000001111100110000
31221111200021202222202
4102330133001330300
5313130040321430
613202310122332
71320045112001
oct227437017460
957450252882
1020342120240
118699662022
123b386503a8
131bc2532350
14dad9011a8
157e0ce9d45
hex4bc7c1f30

20342120240 has 80 divisors (see below), whose sum is σ = 50993902848. Its totient is φ = 7502035968.

The previous prime is 20342120203. The next prime is 20342120251. The reversal of 20342120240 is 4202124302.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 900929 + ... + 923231.

Almost surely, 220342120240 is an apocalyptic number.

20342120240 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 20342120240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25496951424).

20342120240 is an abundant number, since it is smaller than the sum of its proper divisors (30651782608).

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

20342120240 is a wasteful number, since it uses less digits than its factorization.

20342120240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23206 (or 23200 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 20342120240 its reverse (4202124302), we get a palindrome (24544244542).

The spelling of 20342120240 in words is "twenty billion, three hundred forty-two million, one hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 877 1040 1754 3508 4385 7016 8770 11401 14032 17540 22303 22802 35080 44606 45604 57005 70160 89212 91208 111515 114010 178424 182416 223030 228020 289939 356848 446060 456040 579878 892120 912080 1159756 1449695 1784240 2319512 2899390 4639024 5798780 11597560 19559731 23195120 39119462 78238924 97798655 156477848 195597310 254276503 312955696 391194620 508553006 782389240 1017106012 1271382515 1564778480 2034212024 2542765030 4068424048 5085530060 10171060120 20342120240