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116202632 = 237131931271
BaseRepresentation
bin1101110110100…
…01110010001000
322002122201001012
412323101302020
5214221441012
615310343052
72610464120
oct673216210
9262581035
10116202632
115a658837
1232abaa88
131b0c7670
141160bc80
15a305622
hex6ed1c88

116202632 has 128 divisors (see below), whose sum is σ = 292454400. Its totient is φ = 41990400.

The previous prime is 116202571. The next prime is 116202649. The reversal of 116202632 is 236202611.

It is a junction number, because it is equal to n+sod(n) for n = 116202598 and 116202607.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 428657 + ... + 428927.

It is an arithmetic number, because the mean of its divisors is an integer number (2284800).

Almost surely, 2116202632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116202632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146227200).

116202632 is an abundant number, since it is smaller than the sum of its proper divisors (176251768).

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

116202632 is a wasteful number, since it uses less digits than its factorization.

116202632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 116202632 is about 10779.7324642126. The cubic root of 116202632 is about 487.9837067928.

The spelling of 116202632 in words is "one hundred sixteen million, two hundred two thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 19 26 28 31 38 52 56 62 76 91 104 124 133 152 182 217 247 248 266 271 364 403 434 494 532 542 589 728 806 868 988 1064 1084 1178 1612 1729 1736 1897 1976 2168 2356 2821 3224 3458 3523 3794 4123 4712 5149 5642 6916 7046 7588 7657 8246 8401 10298 11284 13832 14092 15176 15314 16492 16802 20596 22568 24661 28184 30628 32984 33604 36043 41192 49322 53599 58807 61256 66937 67208 72086 98644 107198 109213 117614 133874 144172 159619 197288 214396 218426 235228 267748 288344 319238 428792 436852 468559 470456 535496 638476 764491 873704 937118 1117333 1276952 1528982 1874236 2075047 2234666 3057964 3748472 4150094 4469332 6115928 8300188 8938664 14525329 16600376 29050658 58101316 116202632