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1321147464 = 2337131573853
BaseRepresentation
bin100111010111111…
…0001110001001000
310102001222020121120
41032233301301020
510201203204324
6335032435240
744511365610
oct11657616110
93361866546
101321147464
1161883170a
1230a548b20
13180930780
14c7667a40
157aebb179
hex4ebf1c48

1321147464 has 128 divisors (see below), whose sum is σ = 4092023040. Its totient is φ = 346125312.

The previous prime is 1321147459. The next prime is 1321147489. The reversal of 1321147464 is 4647411231.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 340962 + ... + 344814.

It is an arithmetic number, because the mean of its divisors is an integer number (31968930).

Almost surely, 21321147464 is an apocalyptic number.

1321147464 is a gapful number since it is divisible by the number (14) 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 1321147464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2046011520).

1321147464 is an abundant number, since it is smaller than the sum of its proper divisors (2770875576).

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

1321147464 is a wasteful number, since it uses less digits than its factorization.

1321147464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4039 (or 4035 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 1321147464 is about 36347.5922723913. The cubic root of 1321147464 is about 1097.2790779251.

Adding to 1321147464 its reverse (4647411231), we get a palindrome (5968558695).

It can be divided in two parts, 1321 and 147464, that added together give a triangular number (148785 = T545).

The spelling of 1321147464 in words is "one billion, three hundred twenty-one million, one hundred forty-seven thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 157 168 182 273 312 314 364 471 546 628 728 942 1092 1099 1256 1884 2041 2184 2198 3297 3768 3853 4082 4396 6123 6594 7706 8164 8792 11559 12246 13188 14287 15412 16328 23118 24492 26376 26971 28574 30824 42861 46236 48984 50089 53942 57148 80913 85722 92472 100178 107884 114296 150267 161826 171444 200356 215768 300534 323652 342888 350623 400712 601068 604921 647304 701246 1051869 1202136 1209842 1402492 1814763 2103738 2419684 2804984 3629526 4207476 4234447 4839368 7259052 7863973 8414952 8468894 12703341 14518104 15727946 16937788 23591919 25406682 31455892 33875576 47183838 50813364 55047811 62911784 94367676 101626728 110095622 165143433 188735352 220191244 330286866 440382488 660573732 1321147464