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1310412054 = 237173749603
BaseRepresentation
bin100111000011011…
…0100110100010110
310101022202211101210
41032012310310112
510140431141204
6334010402250
744321214210
oct11606646426
93338684353
101310412054
11612769a76
12306a30386
1317b642263
14c60715b0
157a09a389
hex4e1b4d16

1310412054 has 64 divisors (see below), whose sum is σ = 3257197056. Its totient is φ = 342849024.

The previous prime is 1310412053. The next prime is 1310412073. The reversal of 1310412054 is 4502140131.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1310412054.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310412053) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1617 + ... + 51219.

It is an arithmetic number, because the mean of its divisors is an integer number (50893704).

Almost surely, 21310412054 is an apocalyptic number.

1310412054 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1310412054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628598528).

1310412054 is an abundant number, since it is smaller than the sum of its proper divisors (1946785002).

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

1310412054 is a wasteful number, since it uses less digits than its factorization.

1310412054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49669.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1310412054 is about 36199.6140034669. The cubic root of 1310412054 is about 1094.2988927388.

Adding to 1310412054 its reverse (4502140131), we get a palindrome (5812552185).

The spelling of 1310412054 in words is "one billion, three hundred ten million, four hundred twelve thousand, fifty-four".

Divisors: 1 2 3 6 7 14 17 21 34 37 42 51 74 102 111 119 222 238 259 357 518 629 714 777 1258 1554 1887 3774 4403 8806 13209 26418 49603 99206 148809 297618 347221 694442 843251 1041663 1686502 1835311 2083326 2529753 3670622 5059506 5505933 5902757 11011866 11805514 12847177 17708271 25694354 31200287 35416542 38541531 62400574 77083062 93600861 187201722 218402009 436804018 655206027 1310412054