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145361020 = 22571954647
BaseRepresentation
bin10001010101000…
…00100001111100
3101010112002211111
420222200201330
5244203023040
622231331404
73413356030
oct1052404174
9333462744
10145361020
1175063982
1240820b64
132416654c
141543c1c0
15cb64dea
hex8aa087c

145361020 has 48 divisors (see below), whose sum is σ = 367234560. Its totient is φ = 47214144.

The previous prime is 145361017. The next prime is 145361059. The reversal of 145361020 is 20163541.

It is a super-2 number, since 2×1453610202 = 42259652270880800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145360982 and 145361000.

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 15 ways as a sum of consecutive naturals, for example, 24664 + ... + 29983.

It is an arithmetic number, because the mean of its divisors is an integer number (7650720).

Almost surely, 2145361020 is an apocalyptic number.

145361020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145361020 is an abundant number, since it is smaller than the sum of its proper divisors (221873540).

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

145361020 is a wasteful number, since it uses less digits than its factorization.

145361020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54682 (or 54680 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 145361020 is about 12056.5757991231. The cubic root of 145361020 is about 525.7944374512.

The spelling of 145361020 in words is "one hundred forty-five million, three hundred sixty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1330 2660 54647 109294 218588 273235 382529 546470 765058 1038293 1092940 1530116 1912645 2076586 3825290 4153172 5191465 7268051 7650580 10382930 14536102 20765860 29072204 36340255 72680510 145361020