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1310746428 = 223323995059
BaseRepresentation
bin100111000100000…
…0110011100111100
310101100101211002000
41032020012130330
510141022341203
6334021502300
744324106105
oct11610063474
93340354060
101310746428
11612978212
12306b71990
1317b72b504
14c611b3ac
157a1144a3
hex4e20673c

1310746428 has 48 divisors (see below), whose sum is σ = 3400320000. Its totient is φ = 436647024.

The previous prime is 1310746421. The next prime is 1310746439. The reversal of 1310746428 is 8246470131.

1310746428 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 7 + 4 + 642 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1310746392 and 1310746401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310746421) 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, 256563 + ... + 261621.

It is an arithmetic number, because the mean of its divisors is an integer number (70840000).

Almost surely, 21310746428 is an apocalyptic number.

1310746428 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1310746428 is an abundant number, since it is smaller than the sum of its proper divisors (2089573572).

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

1310746428 is a wasteful number, since it uses less digits than its factorization.

1310746428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7471 (or 7463 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1310746428 is about 36204.2321835445. The cubic root of 1310746428 is about 1094.3919611694.

The spelling of 1310746428 in words is "one billion, three hundred ten million, seven hundred forty-six thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 2399 4798 5059 7197 9596 10118 14394 15177 20236 21591 28788 30354 43182 45531 60708 64773 86364 91062 129546 136593 182124 259092 273186 546372 12136541 24273082 36409623 48546164 72819246 109228869 145638492 218457738 327686607 436915476 655373214 1310746428