[go: up one dir, main page]

Search a number
-
+
145852830 = 23253161857
BaseRepresentation
bin10001011000110…
…00100110011110
3101011110002110200
420230120212132
5244314242310
622250044330
73420504624
oct1054304636
9334402420
10145852830
117536a432
1240a196a6
13242a9366
1415529514
15cc109c0
hex8b1899e

145852830 has 96 divisors (see below), whose sum is σ = 398331648. Its totient is φ = 36979200.

The previous prime is 145852813. The next prime is 145852831. The reversal of 145852830 is 38258541.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145852831) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 169762 + ... + 170618.

It is an arithmetic number, because the mean of its divisors is an integer number (4149288).

Almost surely, 2145852830 is an apocalyptic number.

145852830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145852830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199165824).

145852830 is an abundant number, since it is smaller than the sum of its proper divisors (252478818).

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

145852830 is a wasteful number, since it uses less digits than its factorization.

145852830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 145852830 is about 12076.9545002041. The cubic root of 145852830 is about 526.3867555133.

The spelling of 145852830 in words is "one hundred forty-five million, eight hundred fifty-two thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 61 62 90 93 122 155 183 186 279 305 310 366 465 549 558 610 857 915 930 1098 1395 1714 1830 1891 2571 2745 2790 3782 4285 5142 5490 5673 7713 8570 9455 11346 12855 15426 17019 18910 25710 26567 28365 34038 38565 52277 53134 56730 77130 79701 85095 104554 132835 156831 159402 170190 239103 261385 265670 313662 398505 470493 478206 522770 784155 797010 940986 1195515 1568310 1620587 2352465 2391030 3241174 4704930 4861761 8102935 9723522 14585283 16205870 24308805 29170566 48617610 72926415 145852830