Search a number
-
+
150404240 = 2457419641
BaseRepresentation
bin10001111011011…
…11110010010000
3101111000022211102
420331233302100
5302000413430
622531403532
73504262220
oct1075576220
9344008742
10150404240
1177998a28
12424535a8
1325210bbc
1415d92080
15d30e345
hex8f6fc90

150404240 has 80 divisors (see below), whose sum is σ = 401224320. Its totient is φ = 51363840.

The previous prime is 150404203. The next prime is 150404249. The reversal of 150404240 is 42404051.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (150404249) 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, 234320 + ... + 234960.

It is an arithmetic number, because the mean of its divisors is an integer number (5015304).

Almost surely, 2150404240 is an apocalyptic number.

150404240 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 150404240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200612160).

150404240 is an abundant number, since it is smaller than the sum of its proper divisors (250820080).

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

150404240 is a wasteful number, since it uses less digits than its factorization.

150404240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 150404240 is about 12263.9406391257. The cubic root of 150404240 is about 531.8061554691.

Adding to 150404240 its reverse (42404051), we get a palindrome (192808291).

The spelling of 150404240 in words is "one hundred fifty million, four hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 419 560 641 838 1282 1676 2095 2564 2933 3205 3352 4190 4487 5128 5866 6410 6704 8380 8974 10256 11732 12820 14665 16760 17948 22435 23464 25640 29330 33520 35896 44870 46928 51280 58660 71792 89740 117320 179480 234640 268579 358960 537158 1074316 1342895 1880053 2148632 2685790 3760106 4297264 5371580 7520212 9400265 10743160 15040424 18800530 21486320 30080848 37601060 75202120 150404240