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116368896 = 293779137
BaseRepresentation
bin1101110111110…
…10011000000000
322002222011010010
412323322120000
5214242301041
615314104520
72612055630
oct673723000
9262864103
10116368896
115a761746
1232b7b140
131b155247
14116526c0
15a339a16
hex6efa600

116368896 has 160 divisors (see below), whose sum is σ = 361405440. Its totient is φ = 32587776.

The previous prime is 116368877. The next prime is 116368919. The reversal of 116368896 is 698863611.

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

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 15 ways as a sum of consecutive naturals, for example, 849340 + ... + 849476.

It is an arithmetic number, because the mean of its divisors is an integer number (2258784).

Almost surely, 2116368896 is an apocalyptic number.

116368896 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 116368896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180702720).

116368896 is an abundant number, since it is smaller than the sum of its proper divisors (245036544).

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

116368896 is an equidigital number, since it uses as much as digits as its factorization.

116368896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 228 counting only the distinct ones).

The product of its digits is 373248, while the sum is 48.

The square root of 116368896 is about 10787.4415873274. The cubic root of 116368896 is about 488.2163333592.

The spelling of 116368896 in words is "one hundred sixteen million, three hundred sixty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 79 84 96 112 128 137 158 168 192 224 237 256 274 316 336 384 411 448 474 512 548 553 632 672 768 822 896 948 959 1096 1106 1264 1344 1536 1644 1659 1792 1896 1918 2192 2212 2528 2688 2877 3288 3318 3584 3792 3836 4384 4424 5056 5376 5754 6576 6636 7584 7672 8768 8848 10112 10752 10823 11508 13152 13272 15168 15344 17536 17696 20224 21646 23016 26304 26544 30336 30688 32469 35072 35392 40448 43292 46032 52608 53088 60672 61376 64938 70144 70784 75761 86584 92064 105216 106176 121344 122752 129876 141568 151522 173168 184128 210432 212352 227283 245504 259752 283136 303044 346336 368256 424704 454566 491008 519504 606088 692672 736512 849408 909132 1039008 1212176 1385344 1473024 1818264 2078016 2424352 2770688 3636528 4156032 4848704 5541376 7273056 8312064 9697408 14546112 16624128 19394816 29092224 38789632 58184448 116368896