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1125298656 = 25341912273
BaseRepresentation
bin100001100010010…
…1011000111100000
32220102110002120000
41003010223013200
54301034024111
6303355020000
736612611046
oct10304530740
92812402500
101125298656
11528224599
12274a3a600
1314c19aac1
14a9646396
1568bd1c56
hex4312b1e0

1125298656 has 120 divisors (see below), whose sum is σ = 3328262784. Its totient is φ = 372971520.

The previous prime is 1125298651. The next prime is 1125298679. The reversal of 1125298656 is 6568925211.

1125298656 is a `hidden beast` number, since 112 + 529 + 8 + 6 + 5 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1125298651) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 493936 + ... + 496208.

Almost surely, 21125298656 is an apocalyptic number.

1125298656 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 1125298656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664131392).

1125298656 is an abundant number, since it is smaller than the sum of its proper divisors (2202964128).

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

1125298656 is a wasteful number, since it uses less digits than its factorization.

1125298656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2486 (or 2469 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 1125298656 is about 33545.4714678450. The cubic root of 1125298656 is about 1040.1339373851.

The spelling of 1125298656 in words is "one billion, one hundred twenty-five million, two hundred ninety-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 191 216 288 324 382 432 573 648 764 864 1146 1296 1528 1719 2273 2292 2592 3056 3438 4546 4584 5157 6112 6819 6876 9092 9168 10314 13638 13752 15471 18184 18336 20457 20628 27276 27504 30942 36368 40914 41256 54552 55008 61371 61884 72736 81828 82512 109104 122742 123768 163656 165024 184113 218208 245484 247536 327312 368226 434143 490968 495072 654624 736452 868286 981936 1302429 1472904 1736572 1963872 2604858 2945808 3473144 3907287 5209716 5891616 6946288 7814574 10419432 11721861 13892576 15629148 20838864 23443722 31258296 35165583 41677728 46887444 62516592 70331166 93774888 125033184 140662332 187549776 281324664 375099552 562649328 1125298656