Search a number
-
+
1154750072 = 237229157647
BaseRepresentation
bin100010011010100…
…0001011001111000
32222110212101022012
41010311001121320
54331104000242
6310330145052
740421133200
oct10465013170
92873771265
101154750072
1154290a903
12282882188
13155310188
14ad511400
156b59d282
hex44d41678

1154750072 has 96 divisors (see below), whose sum is σ = 2626149600. Its totient is φ = 474050304.

The previous prime is 1154750059. The next prime is 1154750083. The reversal of 1154750072 is 2700574511.

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 23 ways as a sum of consecutive naturals, for example, 1784453 + ... + 1785099.

It is an arithmetic number, because the mean of its divisors is an integer number (27355725).

Almost surely, 21154750072 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 1154750072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313074800).

1154750072 is an abundant number, since it is smaller than the sum of its proper divisors (1471399528).

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

1154750072 is a wasteful number, since it uses less digits than its factorization.

1154750072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 32.

The square root of 1154750072 is about 33981.6137344888. The cubic root of 1154750072 is about 1049.1300646342.

The spelling of 1154750072 in words is "one billion, one hundred fifty-four million, seven hundred fifty thousand, seventy-two".

Divisors: 1 2 4 7 8 14 28 29 49 56 58 98 116 157 196 203 232 314 392 406 628 647 812 1099 1256 1294 1421 1624 2198 2588 2842 4396 4529 4553 5176 5684 7693 8792 9058 9106 11368 15386 18116 18212 18763 30772 31703 31871 36232 36424 37526 61544 63406 63742 75052 101579 126812 127484 131341 150104 203158 223097 253624 254968 262682 406316 446194 525364 711053 812632 892388 919387 1050728 1422106 1784776 1838774 2844212 2945791 3677548 4977371 5688424 5891582 7355096 9954742 11783164 19909484 20620537 23566328 39818968 41241074 82482148 144343759 164964296 288687518 577375036 1154750072