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1125571968 = 27323726407
BaseRepresentation
bin100001100010110…
…1101110110000000
32220102221222110200
41003011231312000
54301121300333
6303404525200
736615126633
oct10305556600
92812858420
101125571968
115283a0974
12274b50800
1314c265321
14a96b7c1a
1568c37c13
hex4316dd80

1125571968 has 96 divisors (see below), whose sum is σ = 3326615760. Its totient is φ = 365036544.

The previous prime is 1125571961. The next prime is 1125571981. The reversal of 1125571968 is 8691755211.

1125571968 is a `hidden beast` number, since 1 + 1 + 2 + 557 + 1 + 96 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1125571961) by changing a digit.

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, 29421 + ... + 55827.

Almost surely, 21125571968 is an apocalyptic number.

1125571968 is a gapful number since it is divisible by the number (18) 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 1125571968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663307880).

1125571968 is an abundant number, since it is smaller than the sum of its proper divisors (2201043792).

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

1125571968 is a wasteful number, since it uses less digits than its factorization.

1125571968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26464 (or 26449 counting only the distinct ones).

The product of its digits is 151200, while the sum is 45.

The square root of 1125571968 is about 33549.5449745596. The cubic root of 1125571968 is about 1040.2181396464.

The spelling of 1125571968 in words is "one billion, one hundred twenty-five million, five hundred seventy-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 128 144 148 192 222 288 296 333 384 444 576 592 666 888 1152 1184 1332 1776 2368 2664 3552 4736 5328 7104 10656 14208 21312 26407 42624 52814 79221 105628 158442 211256 237663 316884 422512 475326 633768 845024 950652 977059 1267536 1690048 1901304 1954118 2535072 2931177 3380096 3802608 3908236 5070144 5862354 7605216 7816472 8793531 10140288 11724708 15210432 15632944 17587062 23449416 30420864 31265888 35174124 46898832 62531776 70348248 93797664 125063552 140696496 187595328 281392992 375190656 562785984 1125571968