Search a number
-
+
144067380 = 22355940697
BaseRepresentation
bin10001001011001…
…00101100110100
3101001002101021220
420211210230310
5243340124010
622143510340
73366360342
oct1045445464
9331071256
10144067380
117435aa56
12402b83b0
1323b02792
14151c2992
15c9ab970
hex8964b34

144067380 has 48 divisors (see below), whose sum is σ = 410235840. Its totient is φ = 37765888.

The previous prime is 144067379. The next prime is 144067397. The reversal of 144067380 is 83760441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16809 + ... + 23888.

It is an arithmetic number, because the mean of its divisors is an integer number (8546580).

Almost surely, 2144067380 is an apocalyptic number.

144067380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144067380 is an abundant number, since it is smaller than the sum of its proper divisors (266168460).

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

144067380 is a wasteful number, since it uses less digits than its factorization.

144067380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40768 (or 40766 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 144067380 is about 12002.8071716578. The cubic root of 144067380 is about 524.2300186658.

It can be divided in two parts, 1440673 and 80, that added together give a triangular number (1440753 = T1697).

The spelling of 144067380 in words is "one hundred forty-four million, sixty-seven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 177 236 295 354 590 708 885 1180 1770 3540 40697 81394 122091 162788 203485 244182 406970 488364 610455 813940 1220910 2401123 2441820 4802246 7203369 9604492 12005615 14406738 24011230 28813476 36016845 48022460 72033690 144067380