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145756140 = 22352429269
BaseRepresentation
bin10001011000000…
…00111111101100
3101011021011211120
420230000333230
5244303144030
622244020540
73416623005
oct1054007754
9334234746
10145756140
1175303822
1240991750
132427434a
14155021ac
15cbe2010
hex8b00fec

145756140 has 24 divisors (see below), whose sum is σ = 408117360. Its totient is φ = 38868288.

The previous prime is 145756139. The next prime is 145756151. The reversal of 145756140 is 41657541.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1214575 + ... + 1214694.

It is an arithmetic number, because the mean of its divisors is an integer number (17004890).

Almost surely, 2145756140 is an apocalyptic number.

145756140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145756140 is an abundant number, since it is smaller than the sum of its proper divisors (262361220).

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

145756140 is a wasteful number, since it uses less digits than its factorization.

145756140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2429281 (or 2429279 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 145756140 is about 12072.9507577891. The cubic root of 145756140 is about 526.2704108701.

The spelling of 145756140 in words is "one hundred forty-five million, seven hundred fifty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 2429269 4858538 7287807 9717076 12146345 14575614 24292690 29151228 36439035 48585380 72878070 145756140