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1120245312 = 26353283389
BaseRepresentation
bin100001011000101…
…1001011001000000
32220001221100200010
41002301121121000
54243240322222
6303054424520
736521633214
oct10261313100
92801840603
101120245312
1152539297a
12273202140
1314b11b964
14a8acc944
156853480c
hex42c59640

1120245312 has 112 divisors (see below), whose sum is σ = 3038368320. Its totient is φ = 364136448.

The previous prime is 1120245307. The next prime is 1120245317. The reversal of 1120245312 is 2135420211.

It is an interprime number because it is at equal distance from previous prime (1120245307) and next prime (1120245317).

It is not an unprimeable number, because it can be changed into a prime (1120245317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2879614 + ... + 2880002.

Almost surely, 21120245312 is an apocalyptic number.

1120245312 is a gapful number since it is divisible by the number (12) 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 1120245312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519184160).

1120245312 is an abundant number, since it is smaller than the sum of its proper divisors (1918123008).

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

1120245312 is a wasteful number, since it uses less digits than its factorization.

1120245312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1120245312 is about 33470.0659097050. The cubic root of 1120245312 is about 1038.5746351396.

Adding to 1120245312 its reverse (2135420211), we get a palindrome (3255665523).

The spelling of 1120245312 in words is "one billion, one hundred twenty million, two hundred forty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 159 192 212 283 318 389 424 566 636 778 848 849 1132 1167 1272 1556 1696 1698 2264 2334 2544 3112 3392 3396 4528 4668 5088 6224 6792 9056 9336 10176 12448 13584 14999 18112 18672 20617 24896 27168 29998 37344 41234 44997 54336 59996 61851 74688 82468 89994 110087 119992 123702 164936 179988 220174 239984 247404 329872 330261 359976 440348 479968 494808 659744 660522 719952 880696 959936 989616 1319488 1321044 1439904 1761392 1979232 2642088 2879808 3522784 3958464 5284176 5834611 7045568 10568352 11669222 17503833 21136704 23338444 35007666 46676888 70015332 93353776 140030664 186707552 280061328 373415104 560122656 1120245312