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145511040 = 273575787
BaseRepresentation
bin10001010110001…
…01001010000000
3101010210201121210
420223011022000
5244222323130
622234450120
73414552303
oct1053051200
9333721553
10145511040
1175156664
1240893940
13241b990c
141547ab3a
15cb945b0
hex8ac5280

145511040 has 64 divisors (see below), whose sum is σ = 463822560. Its totient is φ = 38802432.

The previous prime is 145511033. The next prime is 145511053. The reversal of 145511040 is 40115541.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 145510998 and 145511016.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35974 + ... + 39813.

Almost surely, 2145511040 is an apocalyptic number.

145511040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145511040 is an abundant number, since it is smaller than the sum of its proper divisors (318311520).

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

145511040 is an equidigital number, since it uses as much as digits as its factorization.

145511040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75809 (or 75797 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 145511040 is about 12062.7956958576. The cubic root of 145511040 is about 525.9752575021.

Adding to 145511040 its reverse (40115541), we get a palindrome (185626581).

The spelling of 145511040 in words is "one hundred forty-five million, five hundred eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 75787 151574 227361 303148 378935 454722 606296 757870 909444 1136805 1212592 1515740 1818888 2273610 2425184 3031480 3637776 4547220 4850368 6062960 7275552 9094440 9700736 12125920 14551104 18188880 24251840 29102208 36377760 48503680 72755520 145511040