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2401320040 = 235717504479
BaseRepresentation
bin1000111100100001…
…0011110001101000
320012100111200211021
42033020103301220
514404214220130
61034140342224
7113335612030
oct21710236150
96170450737
102401320040
111022534319
12570244974
132c365b742
1418acc48c0
15e0c3737a
hex8f213c68

2401320040 has 64 divisors (see below), whose sum is σ = 6538060800. Its totient is φ = 774878208.

The previous prime is 2401320013. The next prime is 2401320043. The reversal of 2401320040 is 400231042.

It is a junction number, because it is equal to n+sod(n) for n = 2401319996 and 2401320023.

It is not an unprimeable number, because it can be changed into a prime (2401320043) 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, 247480 + ... + 256999.

It is an arithmetic number, because the mean of its divisors is an integer number (102157200).

Almost surely, 22401320040 is an apocalyptic number.

2401320040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2401320040 is an abundant number, since it is smaller than the sum of its proper divisors (4136740760).

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

2401320040 is a wasteful number, since it uses less digits than its factorization.

2401320040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504514 (or 504510 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2401320040 is about 49003.2656054676. The cubic root of 2401320040 is about 1339.1113213611. Note that the first 3 decimals are identical.

Adding to 2401320040 its reverse (400231042), we get a palindrome (2801551082).

The spelling of 2401320040 in words is "two billion, four hundred one million, three hundred twenty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 595 680 952 1190 2380 4760 504479 1008958 2017916 2522395 3531353 4035832 5044790 7062706 8576143 10089580 14125412 17152286 17656765 20179160 28250824 34304572 35313530 42880715 60033001 68609144 70627060 85761430 120066002 141254120 171522860 240132004 300165005 343045720 480264008 600330010 1200660020 2401320040