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10400340020 = 225774288143
BaseRepresentation
bin10011010111110100…
…01001100000110100
3222211211002000101112
421223322021200310
5132244441340040
64440003214152
7515505301010
oct115372114064
928754060345
1010400340020
1144577a2434
122023077358
13c9991a765
147093b5540
1540d0dc365
hex26be89834

10400340020 has 24 divisors (see below), whose sum is σ = 24960816384. Its totient is φ = 3565830816.

The previous prime is 10400339927. The next prime is 10400340029. The reversal of 10400340020 is 2004300401.

It is a super-2 number, since 2×104003400202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10400339977 and 10400340004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10400340029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37143932 + ... + 37144211.

It is an arithmetic number, because the mean of its divisors is an integer number (1040034016).

Almost surely, 210400340020 is an apocalyptic number.

10400340020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10400340020 is an abundant number, since it is smaller than the sum of its proper divisors (14560476364).

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

10400340020 is a wasteful number, since it uses less digits than its factorization.

10400340020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74288159 (or 74288157 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 10400340020 its reverse (2004300401), we get a palindrome (12404640421).

The spelling of 10400340020 in words is "ten billion, four hundred million, three hundred forty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 74288143 148576286 297152572 371440715 520017001 742881430 1040034002 1485762860 2080068004 2600085005 5200170010 10400340020