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116434428 = 223112175389
BaseRepresentation
bin1101111000010…
…10010111111100
322010002111000020
412330022113330
5214301400203
615315332140
72612450655
oct674122774
9263074006
10116434428
115a7a6a00
1232bb1050
131b179016
141166c52c
15a34e153
hex6f0a5fc

116434428 has 144 divisors (see below), whose sum is σ = 325775520. Its totient is φ = 32215040.

The previous prime is 116434403. The next prime is 116434433. The reversal of 116434428 is 824434611.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1308208 + ... + 1308296.

It is an arithmetic number, because the mean of its divisors is an integer number (2262330).

Almost surely, 2116434428 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 116434428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162887760).

116434428 is an abundant number, since it is smaller than the sum of its proper divisors (209341092).

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

116434428 is a wasteful number, since it uses less digits than its factorization.

116434428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 175 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 116434428 is about 10790.4785806747. The cubic root of 116434428 is about 488.3079609048.

The spelling of 116434428 in words is "one hundred sixteen million, four hundred thirty-four thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 53 66 68 89 102 106 121 132 159 178 187 204 212 242 267 318 356 363 374 484 534 561 583 636 726 748 901 979 1068 1122 1166 1452 1513 1749 1802 1958 2057 2244 2332 2703 2937 3026 3498 3604 3916 4114 4539 4717 5406 5874 6052 6171 6413 6996 8228 9078 9434 9911 10769 10812 11748 12342 12826 14151 16643 18156 18868 19239 19822 21538 24684 25652 28302 29733 32307 33286 38478 39644 43076 49929 51887 56604 59466 64614 66572 76956 80189 99858 103774 109021 118932 129228 155661 160378 183073 199716 207548 218042 240567 311322 320756 327063 366146 436084 481134 549219 570757 622644 654126 732292 882079 962268 1098438 1141514 1308252 1712271 1764158 2196876 2283028 2646237 3424542 3528316 5292474 6849084 9702869 10584948 19405738 29108607 38811476 58217214 116434428