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145694640 = 24357213953
BaseRepresentation
bin10001010111100…
…01111110110000
3101011011001110210
420223301332300
5244244212030
622242424120
73416245500
oct1053617660
9334131423
10145694640
11752715a3
1240962040
1324252360
14154c7a00
15cbcdbb0
hex8af1fb0

145694640 has 240 divisors, whose sum is σ = 566401248. Its totient is φ = 30707712.

The previous prime is 145694611. The next prime is 145694671. The reversal of 145694640 is 46496541.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152404 + ... + 153356.

Almost surely, 2145694640 is an apocalyptic number.

145694640 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 145694640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283200624).

145694640 is an abundant number, since it is smaller than the sum of its proper divisors (420706608).

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

145694640 is a wasteful number, since it uses less digits than its factorization.

145694640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 145694640 is about 12070.4034729581. The cubic root of 145694640 is about 526.1963826943.

The spelling of 145694640 in words is "one hundred forty-five million, six hundred ninety-four thousand, six hundred forty".