Search a number
-
+
1309371648 = 28313313419
BaseRepresentation
bin100111000001011…
…0110110100000000
310101020210222020020
41032002312310000
510140144343043
6333532213440
744306322024
oct11602666400
93336728206
101309371648
11612119332
1230660a280
1317b369830
14c5c80384
1579e41e83
hex4e0b6d00

1309371648 has 144 divisors (see below), whose sum is σ = 3773878080. Its totient is φ = 400637952.

The previous prime is 1309371647. The next prime is 1309371653. The reversal of 1309371648 is 8461739031.

It is a super-2 number, since 2×13093716482 = 3428908225172471808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1309371641) 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, 3124783 + ... + 3125201.

Almost surely, 21309371648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1309371648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886939040).

1309371648 is an abundant number, since it is smaller than the sum of its proper divisors (2464506432).

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

1309371648 is a wasteful number, since it uses less digits than its factorization.

1309371648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 1309371648 is about 36185.2407481282. The cubic root of 1309371648 is about 1094.0092086473.

The spelling of 1309371648 in words is "one billion, three hundred nine million, three hundred seventy-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 313 384 416 419 624 626 768 832 838 939 1248 1252 1257 1664 1676 1878 2496 2504 2514 3328 3352 3756 4069 4992 5008 5028 5447 6704 7512 8138 9984 10016 10056 10894 12207 13408 15024 16276 16341 20032 20112 21788 24414 26816 30048 32552 32682 40064 40224 43576 48828 53632 60096 65104 65364 80128 80448 87152 97656 107264 120192 130208 130728 131147 160896 174304 195312 240384 260416 261456 262294 321792 348608 390624 393441 520832 522912 524588 697216 781248 786882 1041664 1045824 1049176 1394432 1562496 1573764 1704911 2091648 2098352 3124992 3147528 3409822 4183296 4196704 5114733 6295056 6819644 8393408 10229466 12590112 13639288 16786816 20458932 25180224 27278576 33573632 40917864 50360448 54557152 81835728 100720896 109114304 163671456 218228608 327342912 436457216 654685824 1309371648