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116369784 = 2335311931
BaseRepresentation
bin1101110111110…
…10100101111000
322002222012100000
412323322211320
5214242313114
615314113000
72612061336
oct673724570
9262865300
10116369784
115a762383
1232b7b760
131b15577b
1411652b56
15a339e09
hex6efa978

116369784 has 96 divisors (see below), whose sum is σ = 337559040. Its totient is φ = 37519200.

The previous prime is 116369783. The next prime is 116369797. The reversal of 116369784 is 487963611.

It is a happy number.

116369784 is a `hidden beast` number, since 1 + 1 + 636 + 9 + 7 + 8 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116369783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59299 + ... + 61229.

It is an arithmetic number, because the mean of its divisors is an integer number (3516240).

Almost surely, 2116369784 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 116369784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168779520).

116369784 is an abundant number, since it is smaller than the sum of its proper divisors (221189256).

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

116369784 is a wasteful number, since it uses less digits than its factorization.

116369784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1983 (or 1967 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 116369784 is about 10787.4827462203. The cubic root of 116369784 is about 488.2175752002.

The spelling of 116369784 in words is "one hundred sixteen million, three hundred sixty-nine thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 124 162 186 216 243 248 279 324 372 486 558 648 744 837 972 1116 1674 1931 1944 2232 2511 3348 3862 5022 5793 6696 7533 7724 10044 11586 15066 15448 17379 20088 23172 30132 34758 46344 52137 59861 60264 69516 104274 119722 139032 156411 179583 208548 239444 312822 359166 417096 469233 478888 538749 625644 718332 938466 1077498 1251288 1436664 1616247 1876932 2154996 3232494 3753864 4309992 4848741 6464988 9697482 12929976 14546223 19394964 29092446 38789928 58184892 116369784