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1125253320 = 2335471311523
BaseRepresentation
bin100001100010010…
…0000000011001000
32220102100210100220
41003010200003020
54301031101240
6303354030040
736612331632
oct10304400310
92812323326
101125253320
115281a3524
12274a18320
1314c183289
14a9633a52
1568bc35d0
hex431200c8

1125253320 has 128 divisors (see below), whose sum is σ = 3476183040. Its totient is φ = 291249920.

The previous prime is 1125253319. The next prime is 1125253343. The reversal of 1125253320 is 233525211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 738079 + ... + 739601.

It is an arithmetic number, because the mean of its divisors is an integer number (27157680).

Almost surely, 21125253320 is an apocalyptic number.

1125253320 is a gapful number since it is divisible by the number (10) 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 1125253320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1738091520).

1125253320 is an abundant number, since it is smaller than the sum of its proper divisors (2350929720).

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

1125253320 is a wasteful number, since it uses less digits than its factorization.

1125253320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1715 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 1125253320 is about 33544.7957215423. The cubic root of 1125253320 is about 1040.1199689021.

Adding to 1125253320 its reverse (233525211), we get a palindrome (1358778531).

The spelling of 1125253320 in words is "one billion, one hundred twenty-five million, two hundred fifty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 131 141 188 235 262 282 376 393 470 524 564 655 705 786 940 1048 1128 1310 1410 1523 1572 1880 1965 2620 2820 3046 3144 3930 4569 5240 5640 6092 6157 7615 7860 9138 12184 12314 15230 15720 18276 18471 22845 24628 30460 30785 36552 36942 45690 49256 60920 61570 71581 73884 91380 92355 123140 143162 147768 182760 184710 199513 214743 246280 286324 357905 369420 399026 429486 572648 598539 715810 738840 798052 858972 997565 1073715 1197078 1431620 1596104 1717944 1995130 2147430 2394156 2863240 2992695 3990260 4294860 4788312 5985390 7980520 8589720 9377111 11970780 18754222 23941560 28131333 37508444 46885555 56262666 75016888 93771110 112525332 140656665 187542220 225050664 281313330 375084440 562626660 1125253320