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145541424 = 24372337509
BaseRepresentation
bin10001010110011…
…00100100110000
3101010212021022010
420223030210300
5244224311144
622235242520
73415040010
oct1053144460
9333767263
10145541424
1175177476
12408a9440
13241ca6b2
1415487c40
15cb9d5b9
hex8acc930

145541424 has 160 divisors (see below), whose sum is σ = 461399040. Its totient is φ = 38624256.

The previous prime is 145541371. The next prime is 145541441. The reversal of 145541424 is 424145541.

It is a junction number, because it is equal to n+sod(n) for n = 145541391 and 145541400.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 285682 + ... + 286190.

It is an arithmetic number, because the mean of its divisors is an integer number (2883744).

Almost surely, 2145541424 is an apocalyptic number.

145541424 is a gapful number since it is divisible by the number (14) 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 145541424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230699520).

145541424 is an abundant number, since it is smaller than the sum of its proper divisors (315857616).

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

145541424 is a wasteful number, since it uses less digits than its factorization.

145541424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 581 counting only the distinct ones).

The product of its digits is 12800, while the sum is 30.

The square root of 145541424 is about 12064.0550396622. The cubic root of 145541424 is about 526.0118643924.

Adding to 145541424 its reverse (424145541), we get a palindrome (569686965).

The spelling of 145541424 in words is "one hundred forty-five million, five hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 37 42 46 48 56 69 74 84 92 111 112 138 148 161 168 184 222 259 276 296 322 336 368 444 483 509 518 552 592 644 777 851 888 966 1018 1036 1104 1288 1527 1554 1702 1776 1932 2036 2072 2553 2576 3054 3108 3404 3563 3864 4072 4144 5106 5957 6108 6216 6808 7126 7728 8144 10212 10689 11707 11914 12216 12432 13616 14252 17871 18833 20424 21378 23414 23828 24432 28504 35121 35742 37666 40848 42756 46828 47656 56499 57008 70242 71484 75332 81949 85512 93656 95312 112998 131831 140484 142968 150664 163898 171024 187312 225996 245847 263662 280968 285936 301328 327796 395493 433159 451992 491694 527324 561936 655592 790986 866318 903984 983388 1054648 1299477 1311184 1581972 1732636 1966776 2109296 2598954 3032113 3163944 3465272 3933552 5197908 6064226 6327888 6930544 9096339 10395816 12128452 18192678 20791632 24256904 36385356 48513808 72770712 145541424