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145786960 = 24511165667
BaseRepresentation
bin10001011000010…
…00100001010000
3101011022202010001
420230020201100
5244310140320
622244415344
73420111604
oct1054104120
9334282101
10145786960
11753249a0
12409a7554
1324285397
141550d504
15cbeb20a
hex8b08850

145786960 has 40 divisors (see below), whose sum is σ = 369770976. Its totient is φ = 53013120.

The previous prime is 145786957. The next prime is 145786961. The reversal of 145786960 is 69687541.

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

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 145786960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145786961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81954 + ... + 83713.

Almost surely, 2145786960 is an apocalyptic number.

145786960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145786960 is an abundant number, since it is smaller than the sum of its proper divisors (223984016).

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

145786960 is a wasteful number, since it uses less digits than its factorization.

145786960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165691 (or 165685 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The square root of 145786960 is about 12074.2270974170. The cubic root of 145786960 is about 526.3075013853.

The spelling of 145786960 in words is "one hundred forty-five million, seven hundred eighty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 165667 331334 662668 828335 1325336 1656670 1822337 2650672 3313340 3644674 6626680 7289348 9111685 13253360 14578696 18223370 29157392 36446740 72893480 145786960