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145317732 = 22372534663
BaseRepresentation
bin10001010100101…
…01111101100100
3101010102220110020
420222111331210
5244200131412
622230355140
73413115600
oct1052257544
9333386406
10145317732
11750343aa
12407bbab0
132414c931
141542a500
15cb5718c
hex8a95f64

145317732 has 72 divisors (see below), whose sum is σ = 401962176. Its totient is φ = 40727232.

The previous prime is 145317713. The next prime is 145317761. The reversal of 145317732 is 237713541.

145317732 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1453177322 = 42234486467247648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145317693 and 145317702.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28833 + ... + 33495.

It is an arithmetic number, because the mean of its divisors is an integer number (5582808).

Almost surely, 2145317732 is an apocalyptic number.

145317732 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145317732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200981088).

145317732 is an abundant number, since it is smaller than the sum of its proper divisors (256644444).

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

145317732 is a wasteful number, since it uses less digits than its factorization.

145317732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4737 (or 4728 counting only the distinct ones).

The product of its digits is 17640, while the sum is 33.

The square root of 145317732 is about 12054.7804625385. The cubic root of 145317732 is about 525.7422390253.

The spelling of 145317732 in words is "one hundred forty-five million, three hundred seventeen thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 53 84 98 106 147 159 196 212 294 318 371 588 636 742 1113 1484 2226 2597 4452 4663 5194 7791 9326 10388 13989 15582 18652 27978 31164 32641 55956 65282 97923 130564 195846 228487 247139 391692 456974 494278 685461 741417 913948 988556 1370922 1482834 1729973 2741844 2965668 3459946 5189919 6919892 10379838 12109811 20759676 24219622 36329433 48439244 72658866 145317732