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116547648 = 2637175101
BaseRepresentation
bin1101111001001…
…10000001000000
322010022020022120
412330212001000
5214314011043
615322004240
72613432030
oct674460100
9263266276
10116547648
115a873a78
1233046680
131b1b8709
141169b8c0
15a372983
hex6f26040

116547648 has 112 divisors (see below), whose sum is σ = 373221504. Its totient is φ = 31334400.

The previous prime is 116547643. The next prime is 116547659. The reversal of 116547648 is 846745611.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (116547643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20298 + ... + 25398.

Almost surely, 2116547648 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 116547648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186610752).

116547648 is an abundant number, since it is smaller than the sum of its proper divisors (256673856).

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

116547648 is a wasteful number, since it uses less digits than its factorization.

116547648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5140 (or 5130 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 116547648 is about 10795.7235977956. The cubic root of 116547648 is about 488.4661853463.

The spelling of 116547648 in words is "one hundred sixteen million, five hundred forty-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 136 168 192 204 224 238 272 336 357 408 448 476 544 672 714 816 952 1088 1344 1428 1632 1904 2856 3264 3808 5101 5712 7616 10202 11424 15303 20404 22848 30606 35707 40808 61212 71414 81616 86717 107121 122424 142828 163232 173434 214242 244848 260151 285656 326464 346868 428484 489696 520302 571312 607019 693736 856968 979392 1040604 1142624 1214038 1387472 1713936 1821057 2081208 2285248 2428076 2774944 3427872 3642114 4162416 4856152 5549888 6855744 7284228 8324832 9712304 14568456 16649664 19424608 29136912 38849216 58273824 116547648