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116481780 = 223351911353
BaseRepresentation
bin1101111000101…
…01111011110100
322010011212222000
412330111323310
5214304404110
615320335300
72613036012
oct674257364
9263155860
10116481780
115a829538
1233014530
131b19473c
14116818b2
15a35d1c0
hex6f15ef4

116481780 has 96 divisors (see below), whose sum is σ = 381494400. Its totient is φ = 29424384.

The previous prime is 116481749. The next prime is 116481791. The reversal of 116481780 is 87184611.

116481780 is a `hidden beast` number, since 1 + 1 + 648 + 1 + 7 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4584 + ... + 15936.

It is an arithmetic number, because the mean of its divisors is an integer number (3973900).

Almost surely, 2116481780 is an apocalyptic number.

116481780 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 116481780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190747200).

116481780 is an abundant number, since it is smaller than the sum of its proper divisors (265012620).

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

116481780 is a wasteful number, since it uses less digits than its factorization.

116481780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11390 (or 11382 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 116481780 is about 10792.6725142571. The cubic root of 116481780 is about 488.3741475851.

It can be divided in two parts, 1164 and 81780, that added together give a square (82944 = 2882).

The spelling of 116481780 in words is "one hundred sixteen million, four hundred eighty-one thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 90 95 108 114 135 171 180 190 228 270 285 342 380 513 540 570 684 855 1026 1140 1710 2052 2565 3420 5130 10260 11353 22706 34059 45412 56765 68118 102177 113530 136236 170295 204354 215707 227060 306531 340590 408708 431414 510885 613062 647121 681180 862828 1021770 1078535 1226124 1294242 1532655 1941363 2043540 2157070 2588484 3065310 3235605 3882726 4314140 5824089 6130620 6471210 7765452 9706815 11648178 12942420 19413630 23296356 29120445 38827260 58240890 116481780