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1129834496 = 2117531487
BaseRepresentation
bin100001101010111…
…1110100000000000
32220201222112120002
41003111332200000
54303214200441
6304040135132
736666302060
oct10325764000
92821875502
101129834496
1152a84241a
122764674a8
131500c852b
14aa0a73a0
15692cab9b
hex4357e800

1129834496 has 96 divisors (see below), whose sum is σ = 2632331520. Its totient is φ = 474759168.

The previous prime is 1129834493. The next prime is 1129834513. The reversal of 1129834496 is 6944389211.

It is a self number, because there is not a number n which added to its sum of digits gives 1129834496.

It is not an unprimeable number, because it can be changed into a prime (1129834493) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 759065 + ... + 760551.

It is an arithmetic number, because the mean of its divisors is an integer number (27420120).

Almost surely, 21129834496 is an apocalyptic number.

1129834496 is a gapful number since it is divisible by the number (16) 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 1129834496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316165760).

1129834496 is an abundant number, since it is smaller than the sum of its proper divisors (1502497024).

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

1129834496 is an equidigital number, since it uses as much as digits as its factorization.

1129834496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1569 (or 1549 counting only the distinct ones).

The product of its digits is 373248, while the sum is 47.

The square root of 1129834496 is about 33613.0108142665. The cubic root of 1129834496 is about 1041.5295835763.

The spelling of 1129834496 in words is "one billion, one hundred twenty-nine million, eight hundred thirty-four thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 128 212 224 256 371 424 448 512 742 848 896 1024 1484 1487 1696 1792 2048 2968 2974 3392 3584 5936 5948 6784 7168 10409 11872 11896 13568 14336 20818 23744 23792 27136 41636 47488 47584 54272 78811 83272 94976 95168 108544 157622 166544 189952 190336 315244 333088 379904 380672 551677 630488 666176 759808 761344 1103354 1260976 1332352 1522688 2206708 2521952 2664704 3045376 4413416 5043904 5329408 8826832 10087808 10658816 17653664 20175616 21317632 35307328 40351232 70614656 80702464 141229312 161404928 282458624 564917248 1129834496