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145695816 = 23327261677
BaseRepresentation
bin10001010111100…
…10010001001000
3101011011010002100
420223302101020
5244244231231
622242433400
73416252100
oct1053622110
9334133070
10145695816
1175272472
1240962860
1324252a56
14154c8200
15cbce1e6
hex8af2448

145695816 has 144 divisors (see below), whose sum is σ = 467230140. Its totient is φ = 40884480.

The previous prime is 145695811. The next prime is 145695821. The reversal of 145695816 is 618596541.

145695816 is a `hidden beast` number, since 1 + 4 + 5 + 69 + 581 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (145695811) and next prime (145695821).

It can be written as a sum of positive squares in 2 ways, for example, as 145298916 + 396900 = 12054^2 + 630^2 .

It is not an unprimeable number, because it can be changed into a prime (145695811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 214870 + ... + 215546.

Almost surely, 2145695816 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 145695816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233615070).

145695816 is an abundant number, since it is smaller than the sum of its proper divisors (321534324).

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

145695816 is a wasteful number, since it uses less digits than its factorization.

145695816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 750 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 145695816 is about 12070.4521870558. The cubic root of 145695816 is about 526.1977984529.

The spelling of 145695816 in words is "one hundred forty-five million, six hundred ninety-five thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 61 63 72 84 98 122 126 147 168 183 196 244 252 294 366 392 427 441 488 504 549 588 677 732 854 882 1098 1176 1281 1354 1464 1708 1764 2031 2196 2562 2708 2989 3416 3528 3843 4062 4392 4739 5124 5416 5978 6093 7686 8124 8967 9478 10248 11956 12186 14217 15372 16248 17934 18956 23912 24372 26901 28434 30744 33173 35868 37912 41297 42651 48744 53802 56868 66346 71736 82594 85302 99519 107604 113736 123891 132692 165188 170604 199038 215208 247782 265384 289079 298557 330376 341208 371673 398076 495564 578158 597114 743346 796152 867237 991128 1156316 1194228 1486692 1734474 2023553 2312632 2388456 2601711 2973384 3468948 4047106 5203422 6070659 6937896 8094212 10406844 12141318 16188424 18211977 20813688 24282636 36423954 48565272 72847908 145695816