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1129959355 = 57219673623
BaseRepresentation
bin100001101011001…
…1100111110111011
32220202012212211111
41003112130332323
54303232144410
6304042541151
740000332100
oct10326347673
92822185744
101129959355
1152a918208
122765077b7
13150140305
14aa0daaa7
1569302b8a
hex4359cfbb

1129959355 has 48 divisors (see below), whose sum is σ = 1685594880. Its totient is φ = 722893248.

The previous prime is 1129959343. The next prime is 1129959359. The reversal of 1129959355 is 5539599211.

It is not a de Polignac number, because 1129959355 - 215 = 1129926587 is a prime.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a junction number, because it is equal to n+sod(n) for n = 1129959299 and 1129959308.

It is not an unprimeable number, because it can be changed into a prime (1129959359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 310074 + ... + 313696.

It is an arithmetic number, because the mean of its divisors is an integer number (35116560).

Almost surely, 21129959355 is an apocalyptic number.

1129959355 is a deficient number, since it is larger than the sum of its proper divisors (555635525).

1129959355 is a wasteful number, since it uses less digits than its factorization.

1129959355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3728 (or 3721 counting only the distinct ones).

The product of its digits is 546750, while the sum is 49.

The square root of 1129959355 is about 33614.8680645931. The cubic root of 1129959355 is about 1041.5679489454.

The spelling of 1129959355 in words is "one billion, one hundred twenty-nine million, nine hundred fifty-nine thousand, three hundred fifty-five".

Divisors: 1 5 7 19 35 49 67 95 133 245 335 469 665 931 1273 2345 3283 3623 4655 6365 8911 16415 18115 25361 44555 62377 68837 126805 177527 242741 311885 344185 481859 887635 1213705 1699187 2409295 3373013 4612079 8495935 11894309 16865065 23060395 32284553 59471545 161422765 225991871 1129959355