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1376080400 = 245217919219
BaseRepresentation
bin101001000000101…
…0101001000010000
310112220100010102202
41102001111020100
510304234033100
6344314102332
746046330132
oct12201251020
93486303382
101376080400
11646841632
12324a1a9a8
1318c125276
14d0a87052
1580c1c7d5
hex52055210

1376080400 has 60 divisors (see below), whose sum is σ = 3324675600. Its totient is φ = 547328640.

The previous prime is 1376080333. The next prime is 1376080451. The reversal of 1376080400 is 40806731.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61991 + ... + 81209.

It is an arithmetic number, because the mean of its divisors is an integer number (55411260).

Almost surely, 21376080400 is an apocalyptic number.

1376080400 is a gapful number since it is divisible by the number (10) 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 1376080400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662337800).

1376080400 is an abundant number, since it is smaller than the sum of its proper divisors (1948595200).

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

1376080400 is a wasteful number, since it uses less digits than its factorization.

1376080400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19416 (or 19405 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 1376080400 is about 37095.5576855235. The cubic root of 1376080400 is about 1112.2812160771.

The spelling of 1376080400 in words is "one billion, three hundred seventy-six million, eighty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 179 200 358 400 716 895 1432 1790 2864 3580 4475 7160 8950 14320 17900 19219 35800 38438 71600 76876 96095 153752 192190 307504 384380 480475 768760 960950 1537520 1921900 3440201 3843800 6880402 7687600 13760804 17201005 27521608 34402010 55043216 68804020 86005025 137608040 172010050 275216080 344020100 688040200 1376080400