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1370129376 = 253721126479
BaseRepresentation
bin101000110101010…
…1000001111100000
310112111010210011110
41101222220033200
510301223120001
6343542343320
745644623200
oct12152501740
93474123143
101370129376
11643447530
12322a2ab40
1318ab20655
14cdd78400
15804443d6
hex51aa83e0

1370129376 has 144 divisors (see below), whose sum is σ = 4564304640. Its totient is φ = 355864320.

The previous prime is 1370129363. The next prime is 1370129377. The reversal of 1370129376 is 6739210731.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1370129377) 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 23 ways as a sum of consecutive naturals, for example, 38505 + ... + 64983.

It is an arithmetic number, because the mean of its divisors is an integer number (31696560).

Almost surely, 21370129376 is an apocalyptic number.

1370129376 is a gapful number since it is divisible by the number (16) 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 1370129376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2282152320).

1370129376 is an abundant number, since it is smaller than the sum of its proper divisors (3194175264).

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

1370129376 is a wasteful number, since it uses less digits than its factorization.

1370129376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26517 (or 26502 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 39.

The square root of 1370129376 is about 37015.2586915180. The cubic root of 1370129376 is about 1110.6755015029.

The spelling of 1370129376 in words is "one billion, three hundred seventy million, one hundred twenty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 49 56 66 77 84 88 96 98 112 132 147 154 168 176 196 224 231 264 294 308 336 352 392 462 528 539 588 616 672 784 924 1056 1078 1176 1232 1568 1617 1848 2156 2352 2464 3234 3696 4312 4704 6468 7392 8624 12936 17248 25872 26479 51744 52958 79437 105916 158874 185353 211832 291269 317748 370706 423664 556059 582538 635496 741412 847328 873807 1112118 1165076 1270992 1297471 1482824 1747614 2038883 2224236 2330152 2541984 2594942 2965648 3495228 3892413 4077766 4448472 4660304 5189884 5931296 6116649 6990456 7784826 8155532 8896944 9320608 10379768 12233298 13980912 14272181 15569652 16311064 17793888 20759536 24466596 27961824 28544362 31139304 32622128 41519072 42816543 48933192 57088724 62278608 65244256 85633086 97866384 114177448 124557216 171266172 195732768 228354896 342532344 456709792 685064688 1370129376