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145769016 = 23317615857
BaseRepresentation
bin10001011000001…
…00001000111000
3101011021211111110
420230010020320
5244304102031
622244200320
73420005361
oct1054041070
9334254443
10145769016
1175312468
12409990a0
132427a173
1415506b68
15cbe5c46
hex8b04238

145769016 has 64 divisors (see below), whose sum is σ = 392251680. Its totient is φ = 44974080.

The previous prime is 145768979. The next prime is 145769021. The reversal of 145769016 is 610967541.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21960 + ... + 27816.

Almost surely, 2145769016 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 145769016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196125840).

145769016 is an abundant number, since it is smaller than the sum of its proper divisors (246482664).

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

145769016 is a wasteful number, since it uses less digits than its factorization.

145769016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5944 (or 5940 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 145769016 is about 12073.4840042135. The cubic root of 145769016 is about 526.2859072059.

The spelling of 145769016 in words is "one hundred forty-five million, seven hundred sixty-nine thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 61 68 102 122 136 183 204 244 366 408 488 732 1037 1464 2074 3111 4148 5857 6222 8296 11714 12444 17571 23428 24888 35142 46856 70284 99569 140568 199138 298707 357277 398276 597414 714554 796552 1071831 1194828 1429108 2143662 2389656 2858216 4287324 6073709 8574648 12147418 18221127 24294836 36442254 48589672 72884508 145769016