Search a number
-
+
144670590 = 23353831399
BaseRepresentation
bin10001001111101…
…11111101111110
3101002020000202000
420213313331332
5244013424330
622204443130
73404452101
oct1047677576
9332200660
10144670590
1174732179
12405494a6
1323c841cc
14152dc738
15ca7a560
hex89f7f7e

144670590 has 64 divisors (see below), whose sum is σ = 387072000. Its totient is φ = 38450592.

The previous prime is 144670571. The next prime is 144670601. The reversal of 144670590 is 95076441.

144670590 is a `hidden beast` number, since 1 + 4 + 4 + 67 + 0 + 590 = 666.

It is a super-2 number, since 2×1446705902 = 41859159221896200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102711 + ... + 104109.

It is an arithmetic number, because the mean of its divisors is an integer number (6048000).

Almost surely, 2144670590 is an apocalyptic number.

144670590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144670590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193536000).

144670590 is an abundant number, since it is smaller than the sum of its proper divisors (242401410).

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

144670590 is a wasteful number, since it uses less digits than its factorization.

144670590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1798 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 144670590 is about 12027.9087957965. The cubic root of 144670590 is about 524.9606501119.

The spelling of 144670590 in words is "one hundred forty-four million, six hundred seventy thousand, five hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 383 766 1149 1399 1915 2298 2798 3447 3830 4197 5745 6894 6995 8394 10341 11490 12591 13990 17235 20682 20985 25182 34470 37773 41970 51705 62955 75546 103410 125910 188865 377730 535817 1071634 1607451 2679085 3214902 4822353 5358170 8037255 9644706 14467059 16074510 24111765 28934118 48223530 72335295 144670590