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116632026 = 23272959541
BaseRepresentation
bin1101111001110…
…10100111011010
322010110112001200
412330322213122
5214324211101
615323455030
72614233030
oct674724732
9263415050
10116632026
115a921405
1233087476
131b217c44
14116c0550
15a38c986
hex6f3a9da

116632026 has 96 divisors (see below), whose sum is σ = 304387200. Its totient is φ = 31570560.

The previous prime is 116632007. The next prime is 116632031. The reversal of 116632026 is 620236611.

116632026 is a `hidden beast` number, since 1 + 1 + 6 + 632 + 0 + 26 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 215316 + ... + 215856.

It is an arithmetic number, because the mean of its divisors is an integer number (3170700).

Almost surely, 2116632026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116632026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152193600).

116632026 is an abundant number, since it is smaller than the sum of its proper divisors (187755174).

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

116632026 is a wasteful number, since it uses less digits than its factorization.

116632026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 116632026 is about 10799.6308270237. The cubic root of 116632026 is about 488.5840365944.

Adding to 116632026 its reverse (620236611), we get a palindrome (736868637).

It can be divided in two parts, 11663 and 2026, that added together give a square (13689 = 1172).

The spelling of 116632026 in words is "one hundred sixteen million, six hundred thirty-two thousand, twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 59 63 87 118 126 174 177 203 261 354 406 413 522 531 541 609 826 1062 1082 1218 1239 1623 1711 1827 2478 3246 3422 3654 3717 3787 4869 5133 7434 7574 9738 10266 11361 11977 15399 15689 22722 23954 30798 31378 31919 34083 35931 47067 63838 68166 71862 94134 95757 107793 109823 141201 191514 215586 219646 223433 282402 287271 329469 446866 574542 658938 670299 925651 988407 1340598 1851302 1976814 2010897 2776953 4021794 5553906 6479557 8330859 12959114 16661718 19438671 38877342 58316013 116632026