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116753688 = 233217231181
BaseRepresentation
bin1101111010110…
…00010100011000
322010200200221200
412331120110120
5214342104223
615330234200
72615250522
oct675302430
9263620850
10116753688
115a9a4857
1233125960
131b25b42c
1411712a12
15a3b3a43
hex6f58518

116753688 has 144 divisors (see below), whose sum is σ = 348653760. Its totient is φ = 35251200.

The previous prime is 116753683. The next prime is 116753699. The reversal of 116753688 is 886357611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116753683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 644958 + ... + 645138.

Almost surely, 2116753688 is an apocalyptic number.

116753688 is a gapful number since it is divisible by the number (18) 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 116753688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174326880).

116753688 is an abundant number, since it is smaller than the sum of its proper divisors (231900072).

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

116753688 is a wasteful number, since it uses less digits than its factorization.

116753688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 234 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 116753688 is about 10805.2620514266. The cubic root of 116753688 is about 488.7538626034.

The spelling of 116753688 in words is "one hundred sixteen million, seven hundred fifty-three thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 31 34 36 51 62 68 72 93 102 124 136 153 181 186 204 248 279 289 306 362 372 408 527 543 558 578 612 724 744 867 1054 1086 1116 1156 1224 1448 1581 1629 1734 2108 2172 2232 2312 2601 3077 3162 3258 3468 4216 4344 4743 5202 5611 6154 6324 6516 6936 8959 9231 9486 10404 11222 12308 12648 13032 16833 17918 18462 18972 20808 22444 24616 26877 27693 33666 35836 36924 37944 44888 50499 52309 53754 55386 67332 71672 73848 80631 95387 100998 104618 107508 110772 134664 156927 161262 190774 201996 209236 215016 221544 286161 313854 322524 381548 403992 418472 470781 572322 627708 645048 763096 858483 941562 1144644 1255416 1621579 1716966 1883124 2289288 3243158 3433932 3766248 4864737 6486316 6867864 9729474 12972632 14594211 19458948 29188422 38917896 58376844 116753688