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145726640 = 2451821583
BaseRepresentation
bin10001010111110…
…01110010110000
3101011012200100222
420223321302300
5244301223030
622243232212
73416441003
oct1053716260
9334180328
10145726640
1175293644
1240978668
1324263aa7
14154d553a
15cbd83e5
hex8af9cb0

145726640 has 20 divisors (see below), whose sum is σ = 338814624. Its totient is φ = 58290624.

The previous prime is 145726631. The next prime is 145726657. The reversal of 145726640 is 46627541.

145726640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 145726640.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 910712 + ... + 910871.

Almost surely, 2145726640 is an apocalyptic number.

145726640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145726640 is an abundant number, since it is smaller than the sum of its proper divisors (193087984).

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

145726640 is a wasteful number, since it uses less digits than its factorization.

145726640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1821596 (or 1821590 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 145726640 is about 12071.7289565331. The cubic root of 145726640 is about 526.2349040191.

Subtracting from 145726640 its reverse (46627541), we obtain a palindrome (99099099).

It can be divided in two parts, 14572 and 6640, that added together give a palindrome (21212).

The spelling of 145726640 in words is "one hundred forty-five million, seven hundred twenty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1821583 3643166 7286332 9107915 14572664 18215830 29145328 36431660 72863320 145726640