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1130102784 = 21832479
BaseRepresentation
bin100001101011100…
…0000000000000000
32220202111011120200
41003113000000000
54303301242114
6304050005200
740001500206
oct10327000000
92822434520
101130102784
1152aa05a48
12276576800
13150190695
14aa137076
1569330409
hex435c0000

1130102784 has 114 divisors (see below), whose sum is σ = 3271550880. Its totient is φ = 375914496.

The previous prime is 1130102777. The next prime is 1130102797. The reversal of 1130102784 is 4872010311.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2359057 + ... + 2359535.

Almost surely, 21130102784 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 1130102784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635775440).

1130102784 is an abundant number, since it is smaller than the sum of its proper divisors (2141448096).

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

1130102784 is an frugal number, since it uses more digits than its factorization.

1130102784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1130102784 is about 33617.0014129755. The cubic root of 1130102784 is about 1041.6120168222.

The spelling of 1130102784 in words is "one billion, one hundred thirty million, one hundred two thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 479 512 576 768 958 1024 1152 1437 1536 1916 2048 2304 2874 3072 3832 4096 4311 4608 5748 6144 7664 8192 8622 9216 11496 12288 15328 16384 17244 18432 22992 24576 30656 32768 34488 36864 45984 49152 61312 65536 68976 73728 91968 98304 122624 131072 137952 147456 183936 196608 245248 262144 275904 294912 367872 393216 490496 551808 589824 735744 786432 980992 1103616 1179648 1471488 1961984 2207232 2359296 2942976 3923968 4414464 5885952 7847936 8828928 11771904 15695872 17657856 23543808 31391744 35315712 47087616 62783488 70631424 94175232 125566976 141262848 188350464 282525696 376700928 565051392 1130102784