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1350056064 = 27374211193
BaseRepresentation
bin101000001111000…
…0011100010000000
310111002100221202110
41100132003202000
510231103243224
6341544215320
745312200340
oct12036034200
93432327673
101350056064
11633087115
1231816a540
13186912a56
14cb430d20
157d7cb929
hex50783880

1350056064 has 128 divisors (see below), whose sum is σ = 4111562880. Its totient is φ = 384491520.

The previous prime is 1350056023. The next prime is 1350056083. The reversal of 1350056064 is 4606500531.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1131052 + ... + 1132244.

It is an arithmetic number, because the mean of its divisors is an integer number (32121585).

Almost surely, 21350056064 is an apocalyptic number.

1350056064 is a gapful number since it is divisible by the number (14) 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 1350056064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2055781440).

1350056064 is an abundant number, since it is smaller than the sum of its proper divisors (2761506816).

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

1350056064 is a wasteful number, since it uses less digits than its factorization.

1350056064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 1350056064 is about 36743.1090682321. The cubic root of 1350056064 is about 1105.2247487538.

Adding to 1350056064 its reverse (4606500531), we get a palindrome (5956556595).

The spelling of 1350056064 in words is "one billion, three hundred fifty million, fifty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 421 448 672 842 896 1193 1263 1344 1684 2386 2526 2688 2947 3368 3579 4772 5052 5894 6736 7158 8351 8841 9544 10104 11788 13472 14316 16702 17682 19088 20208 23576 25053 26944 28632 33404 35364 38176 40416 47152 50106 53888 57264 66808 70728 76352 80832 94304 100212 114528 133616 141456 152704 161664 188608 200424 229056 267232 282912 377216 400848 458112 502253 534464 565824 801696 1004506 1068928 1131648 1506759 1603392 2009012 3013518 3206784 3515771 4018024 6027036 7031542 8036048 10547313 12054072 14063084 16072096 21094626 24108144 28126168 32144192 42189252 48216288 56252336 64288384 84378504 96432576 112504672 168757008 192865152 225009344 337514016 450018688 675028032 1350056064