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145421540 = 225113311997
BaseRepresentation
bin10001010101011…
…11010011100100
3101010122011211222
420222233103210
5244211442130
622232515512
73414030335
oct1052572344
9333564758
10145421540
11750a53a0
124084bb98
1324187c64
141545628c
15cb77ce5
hex8aaf4e4

145421540 has 48 divisors (see below), whose sum is σ = 334321344. Its totient is φ = 52694400.

The previous prime is 145421539. The next prime is 145421543. The reversal of 145421540 is 45124541.

145421540 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 2×1454215402 = 42294848591943200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145421543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71822 + ... + 73818.

It is an arithmetic number, because the mean of its divisors is an integer number (6965028).

Almost surely, 2145421540 is an apocalyptic number.

145421540 is a gapful number since it is divisible by the number (10) 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 145421540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167160672).

145421540 is an abundant number, since it is smaller than the sum of its proper divisors (188899804).

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

145421540 is a wasteful number, since it uses less digits than its factorization.

145421540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2348 (or 2346 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The square root of 145421540 is about 12059.0853716192. The cubic root of 145421540 is about 525.8673975525.

The spelling of 145421540 in words is "one hundred forty-five million, four hundred twenty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 331 662 1324 1655 1997 3310 3641 3994 6620 7282 7988 9985 14564 18205 19970 21967 36410 39940 43934 72820 87868 109835 219670 439340 661007 1322014 2644028 3305035 6610070 7271077 13220140 14542154 29084308 36355385 72710770 145421540