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1121161408 = 261011071621
BaseRepresentation
bin100001011010011…
…1001000011000000
32220010122220022121
41002310321003000
54244004131113
6303130214024
736532500103
oct10264710300
92803586277
101121161408
11525959184
12273584314
1314b37c923
14a8c8a73a
1568665e8d
hex42d390c0

1121161408 has 56 divisors (see below), whose sum is σ = 2269229904. Its totient is φ = 549504000.

The previous prime is 1121161387. The next prime is 1121161411. The reversal of 1121161408 is 8041611211.

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 7 ways as a sum of consecutive naturals, for example, 690838 + ... + 692458.

Almost surely, 21121161408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121161408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134614952).

1121161408 is an abundant number, since it is smaller than the sum of its proper divisors (1148068496).

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

1121161408 is a wasteful number, since it uses less digits than its factorization.

1121161408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1841 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 25.

The square root of 1121161408 is about 33483.7484162093. The cubic root of 1121161408 is about 1038.8576608981.

Adding to 1121161408 its reverse (8041611211), we get a palindrome (9162772619).

The spelling of 1121161408 in words is "one billion, one hundred twenty-one million, one hundred sixty-one thousand, four hundred eight".

Divisors: 1 2 4 8 16 32 64 101 107 202 214 404 428 808 856 1616 1621 1712 3232 3242 3424 6464 6484 6848 10807 12968 21614 25936 43228 51872 86456 103744 163721 172912 173447 327442 345824 346894 654884 691648 693788 1309768 1387576 2619536 2775152 5239072 5550304 10478144 11100608 17518147 35036294 70072588 140145176 280290352 560580704 1121161408