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20400002540 = 22537130321157
BaseRepresentation
bin10010111111111011…
…110101010111101100
31221122201012111120122
4102333323311113230
5313234400040130
613212134504112
71321350106031
oct227773652754
957581174518
1020400002540
1187192a6935
123b53b05038
131c0151a428
14db748b388
157e5e302e5
hex4bfef55ec

20400002540 has 48 divisors (see below), whose sum is σ = 44033691072. Its totient is φ = 7932992256.

The previous prime is 20400002461. The next prime is 20400002549. The reversal of 20400002540 is 4520000402.

It is not an unprimeable number, because it can be changed into a prime (20400002549) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 953642 + ... + 974798.

It is an arithmetic number, because the mean of its divisors is an integer number (917368564).

Almost surely, 220400002540 is an apocalyptic number.

20400002540 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 20400002540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22016845536).

20400002540 is an abundant number, since it is smaller than the sum of its proper divisors (23633688532).

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

20400002540 is a wasteful number, since it uses less digits than its factorization.

20400002540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22506 (or 22504 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

Adding to 20400002540 its reverse (4520000402), we get a palindrome (24920002942).

The spelling of 20400002540 in words is "twenty billion, four hundred million, two thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 1303 2606 5212 6515 13030 21157 26060 42314 48211 84628 96422 105785 192844 211570 241055 423140 482110 782809 964220 1565618 3131236 3914045 7828090 15656180 27567571 55135142 110270284 137837855 275675710 551351420 1020000127 2040000254 4080000508 5100000635 10200001270 20400002540