Search a number
-
+
144651400 = 2352723257
BaseRepresentation
bin10001001111100…
…11010010001000
3101002012001102021
420213303102020
5244012321100
622204214224
73404342125
oct1047632210
9332161367
10144651400
1174719813
124053a374
1323c7855a
14152d574c
15ca74a1a
hex89f3488

144651400 has 24 divisors (see below), whose sum is σ = 336314970. Its totient is φ = 57860480.

The previous prime is 144651373. The next prime is 144651401. The reversal of 144651400 is 4156441.

It can be written as a sum of positive squares in 3 ways, for example, as 117548964 + 27102436 = 10842^2 + 5206^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (144651401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 361429 + ... + 361828.

Almost surely, 2144651400 is an apocalyptic number.

144651400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144651400 is an abundant number, since it is smaller than the sum of its proper divisors (191663570).

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

144651400 is a wasteful number, since it uses less digits than its factorization.

144651400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723273 (or 723264 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 144651400 is about 12027.1110413100. Note that the first 3 decimals coincide. The cubic root of 144651400 is about 524.9374377453.

The spelling of 144651400 in words is "one hundred forty-four million, six hundred fifty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 723257 1446514 2893028 3616285 5786056 7232570 14465140 18081425 28930280 36162850 72325700 144651400