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145436240 = 2455334301
BaseRepresentation
bin10001010101100…
…10111001010000
3101010122221000102
420222302321100
5244212424430
622233111532
73414121235
oct1052627120
9333587012
10145436240
1175105444
12408585a8
1324191861
141545b78c
15cb7c345
hex8ab2e50

145436240 has 40 divisors (see below), whose sum is σ = 344529288. Its totient is φ = 57075200.

The previous prime is 145436237. The next prime is 145436257. The reversal of 145436240 is 42634541.

It can be written as a sum of positive squares in 4 ways, for example, as 5345344 + 140090896 = 2312^2 + 11836^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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, 12911 + ... + 21390.

Almost surely, 2145436240 is an apocalyptic number.

145436240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145436240 is an abundant number, since it is smaller than the sum of its proper divisors (199093048).

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

145436240 is a wasteful number, since it uses less digits than its factorization.

145436240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34367 (or 34361 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 145436240 is about 12059.6948551777. The cubic root of 145436240 is about 525.8851161341.

The spelling of 145436240 in words is "one hundred forty-five million, four hundred thirty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 4240 34301 68602 137204 171505 274408 343010 548816 686020 1372040 1817953 2744080 3635906 7271812 9089765 14543624 18179530 29087248 36359060 72718120 145436240