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116020674 = 23471171131
BaseRepresentation
bin1101110101001…
…01010111000010
322002022110110000
412322211113002
5214200130144
615302420430
72606105460
oct672452702
9262273400
10116020674
115a544060
1232a31716
131b0628b3
14115a1830
15a2bb769
hex6ea55c2

116020674 has 160 divisors (see below), whose sum is σ = 331195392. Its totient is φ = 29484000.

The previous prime is 116020673. The next prime is 116020679. The reversal of 116020674 is 476020611.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116020673) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 885589 + ... + 885719.

Almost surely, 2116020674 is an apocalyptic number.

116020674 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 116020674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165597696).

116020674 is an abundant number, since it is smaller than the sum of its proper divisors (215174718).

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

116020674 is a wasteful number, since it uses less digits than its factorization.

116020674 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 116020674 is about 10771.2893378648. The cubic root of 116020674 is about 487.7288676841.

The spelling of 116020674 in words is "one hundred sixteen million, twenty thousand, six hundred seventy-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 71 77 81 99 126 131 142 154 162 189 198 213 231 262 297 378 393 426 462 497 567 594 639 693 781 786 891 917 994 1134 1179 1278 1386 1441 1491 1562 1782 1834 1917 2079 2343 2358 2751 2882 2982 3537 3834 4158 4323 4473 4686 5467 5502 5751 6237 7029 7074 8253 8646 8946 9301 10087 10611 10934 11502 12474 12969 13419 14058 16401 16506 18602 20174 21087 21222 24759 25938 26838 27903 30261 32802 38907 40257 42174 49203 49518 55806 60522 63261 65107 74277 77814 80514 83709 90783 98406 102311 116721 126522 130214 147609 148554 167418 181566 195321 204622 233442 251127 272349 295218 306933 390642 442827 502254 544698 585963 613866 716177 753381 817047 885654 920799 1171926 1432354 1506762 1634094 1757889 1841598 2148531 2762397 3515778 4297062 5273667 5524794 6445593 8287191 10547334 12891186 16574382 19336779 38673558 58010337 116020674