Search a number
-
+
145355440 = 2451726287
BaseRepresentation
bin10001010100111…
…11001010110000
3101010111211011211
420222133022300
5244202333230
622231245504
73413333536
oct1052371260
9333454154
10145355440
117505a76a
1240819894
1324163b49
141543a156
15cb6342a
hex8a9f2b0

145355440 has 60 divisors (see below), whose sum is σ = 359057376. Its totient is φ = 54713344.

The previous prime is 145355429. The next prime is 145355449. The reversal of 145355440 is 44553541.

It is a happy number.

It is a super-2 number, since 2×1453554402 = 42256407875187200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145355449) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 19977 + ... + 26263.

Almost surely, 2145355440 is an apocalyptic number.

145355440 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 145355440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179528688).

145355440 is an abundant number, since it is smaller than the sum of its proper divisors (213701936).

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

145355440 is a wasteful number, since it uses less digits than its factorization.

145355440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6334 (or 6311 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

The square root of 145355440 is about 12056.3443879146. The cubic root of 145355440 is about 525.7877094428.

The spelling of 145355440 in words is "one hundred forty-five million, three hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 289 340 578 680 1156 1360 1445 2312 2890 4624 5780 6287 11560 12574 23120 25148 31435 50296 62870 100592 106879 125740 213758 251480 427516 502960 534395 855032 1068790 1710064 1816943 2137580 3633886 4275160 7267772 8550320 9084715 14535544 18169430 29071088 36338860 72677720 145355440