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1121493968 = 24726312267
BaseRepresentation
bin100001011011000…
…1010001111010000
32220011021210111122
41002312022033100
54244100301333
6303141301412
736535353500
oct10266121720
92804253448
101121493968
11526066021
12273704868
1314b4680ca
14a8d35a00
15686ce798
hex42d8a3d0

1121493968 has 60 divisors (see below), whose sum is σ = 2532775392. Its totient is φ = 479666880.

The previous prime is 1121493959. The next prime is 1121493977. The reversal of 1121493968 is 8693941211.

It is an interprime number because it is at equal distance from previous prime (1121493959) and next prime (1121493977).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 493571 + ... + 495837.

Almost surely, 21121493968 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 1121493968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266387696).

1121493968 is an abundant number, since it is smaller than the sum of its proper divisors (1411281424).

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

1121493968 is a wasteful number, since it uses less digits than its factorization.

1121493968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2920 (or 2907 counting only the distinct ones).

The product of its digits is 93312, while the sum is 44.

The square root of 1121493968 is about 33488.7140392103. The cubic root of 1121493968 is about 1038.9603664044.

The spelling of 1121493968 in words is "one billion, one hundred twenty-one million, four hundred ninety-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 631 784 1262 2267 2524 4417 4534 5048 8834 9068 10096 15869 17668 18136 30919 31738 35336 36272 61838 63476 70672 111083 123676 126952 222166 247352 253904 444332 494704 888664 1430477 1777328 2860954 5721908 10013339 11443816 20026678 22887632 40053356 70093373 80106712 140186746 160213424 280373492 560746984 1121493968