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1136688384 = 28313257443
BaseRepresentation
bin100001111000000…
…0111110100000000
32221012212202022210
41003300013310000
54311443012014
6304443102120
740111456206
oct10360076400
92835782283
101136688384
115336a3897
12278811940
131516580a0
14aad6d076
1569bd1859
hex43c07d00

1136688384 has 144 divisors (see below), whose sum is σ = 3278020032. Its totient is φ = 347602944.

The previous prime is 1136688383. The next prime is 1136688401. The reversal of 1136688384 is 4838866311.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1136688383) 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, 2565667 + ... + 2566109.

It is an arithmetic number, because the mean of its divisors is an integer number (22764028).

Almost surely, 21136688384 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 1136688384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639010016).

1136688384 is an abundant number, since it is smaller than the sum of its proper divisors (2141331648).

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

1136688384 is a wasteful number, since it uses less digits than its factorization.

1136688384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 718 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 1136688384 is about 33714.8095649375. The cubic root of 1136688384 is about 1043.6314078796.

The spelling of 1136688384 in words is "one billion, one hundred thirty-six million, six hundred eighty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 257 312 384 416 443 514 624 768 771 832 886 1028 1248 1329 1542 1664 1772 2056 2496 2658 3084 3328 3341 3544 4112 4992 5316 5759 6168 6682 7088 8224 9984 10023 10632 11518 12336 13364 14176 16448 17277 20046 21264 23036 24672 26728 28352 32896 34554 40092 42528 46072 49344 53456 56704 65792 69108 80184 85056 92144 98688 106912 113408 113851 138216 160368 170112 184288 197376 213824 227702 276432 320736 340224 341553 368576 427648 455404 552864 641472 683106 737152 855296 910808 1105728 1282944 1366212 1474304 1480063 1821616 2211456 2565888 2732424 2960126 3643232 4422912 4440189 5464848 5920252 7286464 8880378 10929696 11840504 14572928 17760756 21859392 23681008 29145856 35521512 43718784 47362016 71043024 87437568 94724032 142086048 189448064 284172096 378896128 568344192 1136688384