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1266152928 = 25317247971
BaseRepresentation
bin100101101110111…
…1111010111100000
310021020111020021220
41023131333113200
510043113343203
6325350015040
743243056645
oct11335772740
93236436256
101266152928
1159a78a487
122b4047480
13172416c21
14c022ddcc
1576256653
hex4b77f5e0

1266152928 has 144 divisors (see below), whose sum is σ = 3609494784. Its totient is φ = 388372480.

The previous prime is 1266152917. The next prime is 1266152947. The reversal of 1266152928 is 8292516621.

It is a self number, because there is not a number n which added to its sum of digits gives 1266152928.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1303483 + ... + 1304453.

It is an arithmetic number, because the mean of its divisors is an integer number (25065936).

Almost surely, 21266152928 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 1266152928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1804747392).

1266152928 is an abundant number, since it is smaller than the sum of its proper divisors (2343341856).

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

1266152928 is a wasteful number, since it uses less digits than its factorization.

1266152928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1040 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 1266152928 is about 35583.0427029505. The cubic root of 1266152928 is about 1081.8375575998.

The spelling of 1266152928 in words is "one billion, two hundred sixty-six million, one hundred fifty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 47 48 51 68 94 96 102 136 141 188 204 272 282 289 376 408 544 564 578 752 799 816 867 971 1128 1156 1504 1598 1632 1734 1942 2256 2312 2397 2913 3196 3468 3884 4512 4624 4794 5826 6392 6936 7768 9248 9588 11652 12784 13583 13872 15536 16507 19176 23304 25568 27166 27744 31072 33014 38352 40749 45637 46608 49521 54332 66028 76704 81498 91274 93216 99042 108664 132056 136911 162996 182548 198084 217328 264112 273822 280619 325992 365096 396168 434656 528224 547644 561238 651984 730192 775829 792336 841857 1095288 1122476 1303968 1460384 1551658 1584672 1683714 2190576 2244952 2327487 3103316 3367428 4381152 4489904 4654974 6206632 6734856 8979808 9309948 12413264 13189093 13469712 18619896 24826528 26378186 26939424 37239792 39567279 52756372 74479584 79134558 105512744 158269116 211025488 316538232 422050976 633076464 1266152928