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1376655104 = 281117149193
BaseRepresentation
bin101001000001110…
…0001011100000000
310112221102022210002
41102003201130000
510304410430404
6344334255132
746054242506
oct12203413400
93487368702
101376655104
116470a43a0
123250574a8
1318c296a26
14d0b96676
1580cd2c1e
hex520e1700

1376655104 has 144 divisors (see below), whose sum is σ = 3211941600. Its totient is φ = 581959680.

The previous prime is 1376655079. The next prime is 1376655107. The reversal of 1376655104 is 4015566731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1376655107) 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, 7132832 + ... + 7133024.

It is an arithmetic number, because the mean of its divisors is an integer number (22305150).

Almost surely, 21376655104 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 1376655104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605970800).

1376655104 is an abundant number, since it is smaller than the sum of its proper divisors (1835286496).

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

1376655104 is a wasteful number, since it uses less digits than its factorization.

1376655104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 38.

The square root of 1376655104 is about 37103.3031413647. The cubic root of 1376655104 is about 1112.4360383039.

The spelling of 1376655104 in words is "one billion, three hundred seventy-six million, six hundred fifty-five thousand, one hundred four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 149 176 187 193 256 272 298 352 374 386 544 596 704 748 772 1088 1192 1408 1496 1544 1639 2123 2176 2384 2533 2816 2992 3088 3278 3281 4246 4352 4768 5066 5984 6176 6556 6562 8492 9536 10132 11968 12352 13112 13124 16984 19072 20264 23936 24704 26224 26248 27863 28757 33968 36091 38144 40528 47872 49408 52448 52496 55726 57514 67936 72182 81056 104896 104992 111452 115028 135872 144364 162112 209792 209984 222904 230056 271744 288728 316327 324224 419584 419968 445808 460112 488869 543488 577456 632654 648448 839936 891616 920224 977738 1154912 1265308 1783232 1840448 1955476 2309824 2530616 3566464 3680896 3910952 4619648 5061232 5377559 7132928 7361792 7821904 9239296 10122464 10755118 15643808 20244928 21510236 31287616 40489856 43020472 62575232 80979712 86040944 125150464 172081888 344163776 688327552 1376655104