Search a number
-
+
1150403968 = 27721491231
BaseRepresentation
bin100010010010001…
…1100010110000000
32222011200120120101
41010210130112000
54324000411333
6310053052144
740336162300
oct10444342600
92864616511
101150403968
1154041158a
12281327054
1315444ac0c
14acadd600
156aee067d
hex4491c580

1150403968 has 96 divisors (see below), whose sum is σ = 2686068000. Its totient is φ = 489323520.

The previous prime is 1150403951. The next prime is 1150403977. The reversal of 1150403968 is 8693040511.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 933913 + ... + 935143.

It is an arithmetic number, because the mean of its divisors is an integer number (27979875).

Almost surely, 21150403968 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 1150403968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343034000).

1150403968 is an abundant number, since it is smaller than the sum of its proper divisors (1535664032).

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

1150403968 is a wasteful number, since it uses less digits than its factorization.

1150403968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 1150403968 is about 33917.6055758658. The cubic root of 1150403968 is about 1047.8122150574.

The spelling of 1150403968 in words is "one billion, one hundred fifty million, four hundred three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 149 196 224 298 392 448 596 784 896 1043 1192 1231 1568 2086 2384 2462 3136 4172 4768 4924 6272 7301 8344 8617 9536 9848 14602 16688 17234 19072 19696 29204 33376 34468 39392 58408 60319 66752 68936 78784 116816 120638 133504 137872 157568 183419 233632 241276 275744 366838 467264 482552 551488 733676 934528 965104 1102976 1283933 1467352 1930208 2567866 2934704 3860416 5135732 5869408 7720832 8987531 10271464 11738816 17975062 20542928 23477632 35950124 41085856 71900248 82171712 143800496 164343424 287600992 575201984 1150403968