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116918208 = 2633116151
BaseRepresentation
bin1101111100000…
…00011111000000
322011000001122000
412332000133000
5214412340313
615333544000
72616534261
oct676003700
9264001560
10116918208
115aaa7420
12331a5000
131b2b8294
1411756968
15a3e7673
hex6f807c0

116918208 has 112 divisors (see below), whose sum is σ = 375025920. Its totient is φ = 35424000.

The previous prime is 116918201. The next prime is 116918239. The reversal of 116918208 is 802819611.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116918201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15933 + ... + 22083.

Almost surely, 2116918208 is an apocalyptic number.

116918208 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 116918208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187512960).

116918208 is an abundant number, since it is smaller than the sum of its proper divisors (258107712).

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

116918208 is a wasteful number, since it uses less digits than its factorization.

116918208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6183 (or 6167 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The square root of 116918208 is about 10812.8723288495. The cubic root of 116918208 is about 488.9833258645.

The spelling of 116918208 in words is "one hundred sixteen million, nine hundred eighteen thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 132 144 176 192 198 216 264 288 297 352 396 432 528 576 594 704 792 864 1056 1188 1584 1728 2112 2376 3168 4752 6151 6336 9504 12302 18453 19008 24604 36906 49208 55359 67661 73812 98416 110718 135322 147624 166077 196832 202983 221436 270644 295248 332154 393664 405966 442872 541288 590496 608949 664308 811932 885744 1082576 1180992 1217898 1328616 1623864 1771488 1826847 2165152 2435796 2657232 3247728 3542976 3653694 4330304 4871592 5314464 6495456 7307388 9743184 10628928 12990912 14614776 19486368 29229552 38972736 58459104 116918208