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116671360 = 2751337379
BaseRepresentation
bin1101111010001…
…00001110000000
322010112112000111
412331010032000
5214331440420
615324401104
72614455511
oct675041600
9263475014
10116671360
115a948a13
12330a6194
131b22cb10
14116d0a08
15a39945a
hex6f44380

116671360 has 128 divisors (see below), whose sum is σ = 309304800. Its totient is φ = 41803776.

The previous prime is 116671327. The next prime is 116671369. The reversal of 116671360 is 63176611.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1166713602 = 27224412488499200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116671369) 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, 307651 + ... + 308029.

Almost surely, 2116671360 is an apocalyptic number.

116671360 is a gapful number since it is divisible by the number (10) 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 116671360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154652400).

116671360 is an abundant number, since it is smaller than the sum of its proper divisors (192633440).

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

116671360 is a wasteful number, since it uses less digits than its factorization.

116671360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 116671360 is about 10801.4517542782. The cubic root of 116671360 is about 488.6389551994.

The spelling of 116671360 in words is "one hundred sixteen million, six hundred seventy-one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 37 40 52 64 65 74 80 104 128 130 148 160 185 208 260 296 320 370 379 416 481 520 592 640 740 758 832 962 1040 1184 1480 1516 1664 1895 1924 2080 2368 2405 2960 3032 3790 3848 4160 4736 4810 4927 5920 6064 7580 7696 8320 9620 9854 11840 12128 14023 15160 15392 19240 19708 23680 24256 24635 28046 30320 30784 38480 39416 48512 49270 56092 60640 61568 70115 76960 78832 98540 112184 121280 140230 153920 157664 182299 197080 224368 242560 280460 307840 315328 364598 394160 448736 560920 630656 729196 788320 897472 911495 1121840 1458392 1576640 1794944 1822990 2243680 2916784 3153280 3645980 4487360 5833568 7291960 8974720 11667136 14583920 23334272 29167840 58335680 116671360