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145380040 = 23513279577
BaseRepresentation
bin10001010101001…
…01001011001000
3101010120001220221
420222211023020
5244204130130
622231555424
73413465341
oct1052451310
9333501827
10145380040
11750771a3
124082bb74
13241720c0
14154450c8
15cb6a87a
hex8aa52c8

145380040 has 32 divisors (see below), whose sum is σ = 352268280. Its totient is φ = 53678592.

The previous prime is 145380023. The next prime is 145380083. The reversal of 145380040 is 40083541.

It can be written as a sum of positive squares in 4 ways, for example, as 68326756 + 77053284 = 8266^2 + 8778^2 .

It is a super-2 number, since 2×1453800402 = 42270712060803200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145379987 and 145380014.

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 7 ways as a sum of consecutive naturals, for example, 139269 + ... + 140308.

Almost surely, 2145380040 is an apocalyptic number.

145380040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145380040 is an abundant number, since it is smaller than the sum of its proper divisors (206888240).

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

145380040 is a wasteful number, since it uses less digits than its factorization.

145380040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279601 (or 279597 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 145380040 is about 12057.3645544953. The cubic root of 145380040 is about 525.8173692616.

The spelling of 145380040 in words is "one hundred forty-five million, three hundred eighty thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 279577 559154 1118308 1397885 2236616 2795770 3634501 5591540 7269002 11183080 14538004 18172505 29076008 36345010 72690020 145380040