Search a number
-
+
145897360 = 2457614271
BaseRepresentation
bin10001011001000…
…11011110010000
3101011112100112221
420230203132100
5244322203420
622251030424
73421051510
oct1054433620
9334470487
10145897360
117539a934
1240a3b414
13242c36cb
141553b840
15cc1dcaa
hex8b23790

145897360 has 80 divisors (see below), whose sum is σ = 394117632. Its totient is φ = 49190400.

The previous prime is 145897357. The next prime is 145897361. The reversal of 145897360 is 63798541.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (145897361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32025 + ... + 36295.

Almost surely, 2145897360 is an apocalyptic number.

145897360 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 145897360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197058816).

145897360 is an abundant number, since it is smaller than the sum of its proper divisors (248220272).

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

145897360 is a wasteful number, since it uses less digits than its factorization.

145897360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4352 (or 4346 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The square root of 145897360 is about 12078.7979534389. The cubic root of 145897360 is about 526.4403200485.

The spelling of 145897360 in words is "one hundred forty-five million, eight hundred ninety-seven thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 61 70 80 112 122 140 244 280 305 427 488 560 610 854 976 1220 1708 2135 2440 3416 4270 4271 4880 6832 8540 8542 17080 17084 21355 29897 34160 34168 42710 59794 68336 85420 119588 149485 170840 239176 260531 298970 341680 478352 521062 597940 1042124 1195880 1302655 1823717 2084248 2391760 2605310 3647434 4168496 5210620 7294868 9118585 10421240 14589736 18237170 20842480 29179472 36474340 72948680 145897360