Search a number
-
+
1396291072 = 29112983103
BaseRepresentation
bin101001100111001…
…1011011000000000
310121022100221021011
41103032123120000
510324422303242
6350315210304
746413164311
oct12316333000
93538327234
101396291072
11657196170
1232b746994
13193380547
14d3628608
15828b0d17
hex5339b600

1396291072 has 160 divisors (see below), whose sum is σ = 3217294080. Its totient is φ = 599531520.

The previous prime is 1396291063. The next prime is 1396291079. The reversal of 1396291072 is 2701926931.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1396291079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13556173 + ... + 13556275.

It is an arithmetic number, because the mean of its divisors is an integer number (20108088).

Almost surely, 21396291072 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 1396291072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608647040).

1396291072 is an abundant number, since it is smaller than the sum of its proper divisors (1821003008).

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

1396291072 is a wasteful number, since it uses less digits than its factorization.

1396291072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 40.

The square root of 1396291072 is about 37366.9783632554. The cubic root of 1396291072 is about 1117.7001787113.

The spelling of 1396291072 in words is "one billion, three hundred ninety-six million, two hundred ninety-one thousand, seventy-two".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 83 88 103 116 128 166 176 206 232 256 319 332 352 412 464 512 638 664 704 824 913 928 1133 1276 1328 1408 1648 1826 1856 2266 2407 2552 2656 2816 2987 3296 3652 3712 4532 4814 5104 5312 5632 5974 6592 7304 7424 8549 9064 9628 10208 10624 11948 13184 14608 14848 17098 18128 19256 20416 21248 23896 26368 26477 29216 32857 34196 36256 38512 40832 42496 47792 52736 52954 58432 65714 68392 72512 77024 81664 94039 95584 105908 116864 131428 136784 145024 154048 163328 188078 191168 211816 233728 247921 262856 273568 290048 308096 376156 382336 423632 467456 495842 525712 547136 580096 616192 752312 764672 847264 991684 1051424 1094272 1232384 1504624 1529344 1694528 1983368 2102848 2188544 2727131 3009248 3389056 3966736 4205696 4377088 5454262 6018496 6778112 7933472 8411392 10908524 12036992 13556224 15866944 16822784 21817048 24073984 31733888 43634096 48147968 63467776 87268192 126935552 174536384 349072768 698145536 1396291072