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1121539272 = 2337292111091
BaseRepresentation
bin100001011011001…
…0101010011001000
32220011101002122120
41002312111103020
54244103224042
6303142251240
736535632540
oct10266252310
92804332576
101121539272
11526097067
12273726b20
1314b482909
14a8d48320
15686dcdec
hex42d954c8

1121539272 has 128 divisors (see below), whose sum is σ = 3333657600. Its totient is φ = 307641600.

The previous prime is 1121539231. The next prime is 1121539273. The reversal of 1121539272 is 2729351211.

It is not an unprimeable number, because it can be changed into a prime (1121539273) 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 31 ways as a sum of consecutive naturals, for example, 1027447 + ... + 1028537.

It is an arithmetic number, because the mean of its divisors is an integer number (26044200).

Almost surely, 21121539272 is an apocalyptic number.

1121539272 is a gapful number since it is divisible by the number (12) 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 1121539272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666828800).

1121539272 is an abundant number, since it is smaller than the sum of its proper divisors (2212118328).

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

1121539272 is a wasteful number, since it uses less digits than its factorization.

1121539272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347 (or 1343 counting only the distinct ones).

The product of its digits is 7560, while the sum is 33.

The square root of 1121539272 is about 33489.3904393615. The cubic root of 1121539272 is about 1038.9743562037.

The spelling of 1121539272 in words is "one billion, one hundred twenty-one million, five hundred thirty-nine thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 168 174 203 211 232 348 406 422 609 633 696 812 844 1091 1218 1266 1477 1624 1688 2182 2436 2532 2954 3273 4364 4431 4872 5064 5908 6119 6546 7637 8728 8862 11816 12238 13092 15274 17724 18357 22911 24476 26184 30548 31639 35448 36714 42833 45822 48952 61096 63278 73428 85666 91644 94917 126556 128499 146856 171332 183288 189834 221473 230201 253112 256998 342664 379668 442946 460402 513996 664419 690603 759336 885892 920804 1027992 1328838 1381206 1611407 1771784 1841608 2657676 2762412 3222814 4834221 5315352 5524824 6445628 6675829 9668442 12891256 13351658 19336884 20027487 26703316 38673768 40054974 46730803 53406632 80109948 93461606 140192409 160219896 186923212 280384818 373846424 560769636 1121539272