Search a number
-
+
1148751936 = 26332292903
BaseRepresentation
bin100010001111000…
…1001000001000000
32222001120122102000
41010132021001000
54323040030221
6305553424000
740316142003
oct10436110100
92861518360
101148751936
1153a493372
1228086b000
13153cbcc97
14ac7cd53a
156acb5e26
hex44789040

1148751936 has 112 divisors (see below), whose sum is σ = 3393033600. Its totient is φ = 381113856.

The previous prime is 1148751911. The next prime is 1148751943. The reversal of 1148751936 is 6391578411.

It is a junction number, because it is equal to n+sod(n) for n = 1148751891 and 1148751900.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 394261 + ... + 397163.

Almost surely, 21148751936 is an apocalyptic number.

1148751936 is a gapful number since it is divisible by the number (16) 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 1148751936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696516800).

1148751936 is an abundant number, since it is smaller than the sum of its proper divisors (2244281664).

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

1148751936 is a wasteful number, since it uses less digits than its factorization.

1148751936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3153 (or 3137 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 1148751936 is about 33893.2432204414. The cubic root of 1148751936 is about 1047.3104062359.

The spelling of 1148751936 in words is "one billion, one hundred forty-eight million, seven hundred fifty-one thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 229 288 432 458 576 687 864 916 1374 1728 1832 2061 2748 2903 3664 4122 5496 5806 6183 7328 8244 8709 10992 11612 12366 14656 16488 17418 21984 23224 24732 26127 32976 34836 43968 46448 49464 52254 65952 69672 78381 92896 98928 104508 131904 139344 156762 185792 197856 209016 278688 313524 395712 418032 557376 627048 664787 836064 1254096 1329574 1672128 1994361 2508192 2659148 3988722 5016384 5318296 5983083 7977444 10636592 11966166 15954888 17949249 21273184 23932332 31909776 35898498 42546368 47864664 63819552 71796996 95729328 127639104 143593992 191458656 287187984 382917312 574375968 1148751936