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1350901632 = 27331283401
BaseRepresentation
bin101000010000101…
…0001111110000000
310111010221220122210
41100201101332000
510231312323012
6342014302120
745322321503
oct12041217600
93433856583
101350901632
11633604433
123184b7940
13186b4a8a2
14cb5b113a
157d8e723c
hex50851f80

1350901632 has 128 divisors (see below), whose sum is σ = 3726443520. Its totient is φ = 433152000.

The previous prime is 1350901627. The next prime is 1350901649. The reversal of 1350901632 is 2361090531.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1350901632.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3368632 + ... + 3369032.

It is an arithmetic number, because the mean of its divisors is an integer number (29112840).

Almost surely, 21350901632 is an apocalyptic number.

1350901632 is a gapful number since it is divisible by the number (12) 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 1350901632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1863221760).

1350901632 is an abundant number, since it is smaller than the sum of its proper divisors (2375541888).

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

1350901632 is a wasteful number, since it uses less digits than its factorization.

1350901632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 1350901632 is about 36754.6137512014. The cubic root of 1350901632 is about 1105.4554422945.

The spelling of 1350901632 in words is "one billion, three hundred fifty million, nine hundred one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 283 372 384 401 496 566 744 802 849 992 1132 1203 1488 1604 1698 1984 2264 2406 2976 3208 3396 3968 4528 4812 5952 6416 6792 8773 9056 9624 11904 12431 12832 13584 17546 18112 19248 24862 25664 26319 27168 35092 36224 37293 38496 49724 51328 52638 54336 70184 74586 76992 99448 105276 108672 113483 140368 149172 153984 198896 210552 226966 280736 298344 340449 397792 421104 453932 561472 596688 680898 795584 842208 907864 1122944 1193376 1361796 1591168 1684416 1815728 2386752 2723592 3368832 3517973 3631456 4773504 5447184 7035946 7262912 10553919 10894368 14071892 14525824 21107838 21788736 28143784 42215676 43577472 56287568 84431352 112575136 168862704 225150272 337725408 450300544 675450816 1350901632