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1125122796 = 2232753611381
BaseRepresentation
bin100001100010000…
…0000001011101100
32220102010011022200
41003010000023230
54301012412141
6303351141500
736611246250
oct10304001354
92812104280
101125122796
11528114456
12274974890
1314c138a45
14a95dc260
1568b99ab6
hex431002ec

1125122796 has 144 divisors (see below), whose sum is σ = 3368409408. Its totient is φ = 310003200.

The previous prime is 1125122777. The next prime is 1125122797. The reversal of 1125122796 is 6972215211.

1125122796 is a `hidden beast` number, since 112 + 512 + 27 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

1125122796 is a Rhonda number in base 10.

Its product of digits (15120) is a multiple of the sum of its prime factors (1512).

It is a self number, because there is not a number n which added to its sum of digits gives 1125122796.

It is not an unprimeable number, because it can be changed into a prime (1125122797) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 814026 + ... + 815406.

It is an arithmetic number, because the mean of its divisors is an integer number (23391732).

Almost surely, 21125122796 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 1125122796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684204704).

1125122796 is an abundant number, since it is smaller than the sum of its proper divisors (2243286612).

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

1125122796 is a wasteful number, since it uses less digits than its factorization.

1125122796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512 (or 1507 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 1125122796 is about 33542.8501472370. The cubic root of 1125122796 is about 1040.0797510341.

The spelling of 1125122796 in words is "one billion, one hundred twenty-five million, one hundred twenty-two thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 53 61 63 84 106 122 126 159 183 212 244 252 318 366 371 427 477 549 636 732 742 854 954 1098 1113 1281 1381 1484 1708 1908 2196 2226 2562 2762 3233 3339 3843 4143 4452 5124 5524 6466 6678 7686 8286 9667 9699 12429 12932 13356 15372 16572 19334 19398 22631 24858 29001 29097 38668 38796 45262 49716 58002 58194 67893 73193 84241 87003 90524 116004 116388 135786 146386 168482 174006 203679 219579 252723 271572 292772 336964 348012 407358 439158 505446 512351 589687 658737 758169 814716 878316 1010892 1024702 1179374 1317474 1516338 1537053 1769061 2049404 2358748 2634948 3032676 3074106 3538122 4464773 4611159 5307183 6148212 7076244 8929546 9222318 10614366 13394319 17859092 18444636 21228732 26788638 31253411 40182957 53577276 62506822 80365914 93760233 125013644 160731828 187520466 281280699 375040932 562561398 1125122796