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145827234 = 232721011637
BaseRepresentation
bin10001011000100…
…10010110100010
3101011101210100200
420230102112202
5244312432414
622245330030
73420340200
oct1054222642
9334353320
10145827234
1175352183
1240a06916
132429a807
1415520070
15cc08109
hex8b125a2

145827234 has 72 divisors (see below), whose sum is σ = 371409948. Its totient is φ = 41227200.

The previous prime is 145827211. The next prime is 145827247. The reversal of 145827234 is 432728541.

It is a happy number.

145827234 is a `hidden beast` number, since 1 + 4 + 582 + 72 + 3 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 145805625 + 21609 = 12075^2 + 147^2 .

It is an unprimeable number.

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, 88264 + ... + 89900.

Almost surely, 2145827234 is an apocalyptic number.

145827234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145827234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185704974).

145827234 is an abundant number, since it is smaller than the sum of its proper divisors (225582714).

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

145827234 is a wasteful number, since it uses less digits than its factorization.

145827234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760 (or 1750 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 145827234 is about 12075.8947494585. The cubic root of 145827234 is about 526.3559614962.

The spelling of 145827234 in words is "one hundred forty-five million, eight hundred twenty-seven thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 101 126 147 202 294 303 441 606 707 882 909 1414 1637 1818 2121 3274 4242 4911 4949 6363 9822 9898 11459 12726 14733 14847 22918 29466 29694 34377 44541 68754 80213 89082 103131 160426 165337 206262 240639 330674 481278 496011 721917 992022 1157359 1443834 1488033 2314718 2976066 3472077 6944154 8101513 10416231 16203026 20832462 24304539 48609078 72913617 145827234