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1126076325 = 35211193199
BaseRepresentation
bin100001100011110…
…1000111110100101
32220110220121022120
41003013220332211
54301233420300
6303423420153
736622330233
oct10307507645
92813817276
101126076325
115287058a0
12275154659
1314c3b0a6a
14a97a9953
1568cd73a0
hex431e8fa5

1126076325 has 96 divisors (see below), whose sum is σ = 2154624000. Its totient is φ = 514641600.

The previous prime is 1126076321. The next prime is 1126076339. The reversal of 1126076325 is 5236706211.

1126076325 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1126076325 - 22 = 1126076321 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1126076321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5658576 + ... + 5658774.

It is an arithmetic number, because the mean of its divisors is an integer number (22444000).

Almost surely, 21126076325 is an apocalyptic number.

1126076325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1126076325 is a deficient number, since it is larger than the sum of its proper divisors (1028547675).

1126076325 is a wasteful number, since it uses less digits than its factorization.

1126076325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 1126076325 is about 33557.0607324301. The cubic root of 1126076325 is about 1040.3734867270.

The spelling of 1126076325 in words is "one billion, one hundred twenty-six million, seventy-six thousand, three hundred twenty-five".

Divisors: 1 3 5 11 15 19 25 33 55 57 75 95 165 199 209 275 285 361 475 597 627 825 995 1045 1083 1425 1805 2189 2985 3135 3781 3971 4975 5225 5415 6567 6859 9025 10945 11343 11913 14925 15675 18905 19855 20577 27075 32835 34295 41591 54725 56715 59565 71839 75449 94525 99275 102885 124773 164175 171475 207955 215517 226347 283575 297825 359195 377245 514425 623865 790229 1039775 1077585 1131735 1364941 1795975 1886225 2370687 3119325 3951145 4094823 5387925 5658675 6824705 11853435 15014351 19755725 20474115 34123525 45043053 59267175 75071755 102370575 225215265 375358775 1126076325