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1125016376 = 2311237101311
BaseRepresentation
bin100001100001110…
…0110001100111000
32220101220202100012
41003003212030320
54301001011001
6303345001052
736610324061
oct10303461470
92811822305
101125016376
11528051500
12274923188
1314c0cc483
14a95b1568
1568b782bb
hex430e6338

1125016376 has 96 divisors (see below), whose sum is σ = 2412577440. Its totient is φ = 491040000.

The previous prime is 1125016369. The next prime is 1125016423. The reversal of 1125016376 is 6736105211.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3617261 + ... + 3617571.

It is an arithmetic number, because the mean of its divisors is an integer number (25131015).

Almost surely, 21125016376 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 1125016376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206288720).

1125016376 is an abundant number, since it is smaller than the sum of its proper divisors (1287561064).

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

1125016376 is a wasteful number, since it uses less digits than its factorization.

1125016376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 1125016376 is about 33541.2637806031. The cubic root of 1125016376 is about 1040.0469579389.

The spelling of 1125016376 in words is "one billion, one hundred twenty-five million, sixteen thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 22 37 44 74 88 101 121 148 202 242 296 311 404 407 484 622 808 814 968 1111 1244 1628 2222 2488 3256 3421 3737 4444 4477 6842 7474 8888 8954 11507 12221 13684 14948 17908 23014 24442 27368 29896 31411 35816 37631 41107 46028 48884 62822 75262 82214 92056 97768 125644 126577 150524 164428 251288 253154 301048 328856 345521 452177 506308 691042 904354 1012616 1162207 1382084 1392347 1808708 2324414 2764168 2784694 3617416 3800731 4648828 5569388 7601462 9297656 11138776 12784277 15202924 25568554 30405848 51137108 102274216 140627047 281254094 562508188 1125016376