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116073540 = 223351119541
BaseRepresentation
bin1101110101100…
…10010001000100
322002102010222000
412322302101010
5214203323130
615303505300
72606415552
oct672622104
9262363860
10116073540
115a57a850
1232a58230
131b08098b
14115b6bd2
15a2cc260
hex6eb2444

116073540 has 96 divisors (see below), whose sum is σ = 393966720. Its totient is φ = 28137600.

The previous prime is 116073521. The next prime is 116073541. The reversal of 116073540 is 45370611.

116073540 is a `hidden beast` number, since 1 + 1 + 607 + 3 + 54 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (116073541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3831 + ... + 15710.

It is an arithmetic number, because the mean of its divisors is an integer number (4103820).

Almost surely, 2116073540 is an apocalyptic number.

116073540 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 116073540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196983360).

116073540 is an abundant number, since it is smaller than the sum of its proper divisors (277893180).

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

116073540 is a wasteful number, since it uses less digits than its factorization.

116073540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19570 (or 19562 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 116073540 is about 10773.7430821419. The cubic root of 116073540 is about 487.8029359748.

The spelling of 116073540 in words is "one hundred sixteen million, seventy-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 19541 39082 58623 78164 97705 117246 175869 195410 214951 234492 293115 351738 390820 429902 527607 586230 644853 703476 859804 879345 1055214 1074755 1172460 1289706 1758690 1934559 2110428 2149510 2579412 2638035 3224265 3517380 3869118 4299020 5276070 5803677 6448530 7738236 9672795 10552140 11607354 12897060 19345590 23214708 29018385 38691180 58036770 116073540