Search a number
-
+
150447640 = 23572591301
BaseRepresentation
bin10001111011110…
…10011000011000
3101111002112100211
420331322120120
5302003311030
622532340504
73504532600
oct1075723030
9344075324
10150447640
1177a185a2
1242474734
1325227895
1415da3c00
15d31c12a
hex8f7a618

150447640 has 96 divisors (see below), whose sum is σ = 400755600. Its totient is φ = 50668800.

The previous prime is 150447631. The next prime is 150447641. The reversal of 150447640 is 46744051.

150447640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-5 number, since 5×1504476405 (a number of 42 digits) contains 55555 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150447641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114990 + ... + 116290.

Almost surely, 2150447640 is an apocalyptic number.

150447640 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 150447640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200377800).

150447640 is an abundant number, since it is smaller than the sum of its proper divisors (250307960).

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

150447640 is a wasteful number, since it uses less digits than its factorization.

150447640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1385 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 150447640 is about 12265.7099264576. The cubic root of 150447640 is about 531.8573024481.

The spelling of 150447640 in words is "one hundred fifty million, four hundred forty-seven thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 59 70 98 118 140 196 236 245 280 295 392 413 472 490 590 826 980 1180 1301 1652 1960 2065 2360 2602 2891 3304 4130 5204 5782 6505 8260 9107 10408 11564 13010 14455 16520 18214 23128 26020 28910 36428 45535 52040 57820 63749 72856 76759 91070 115640 127498 153518 182140 254996 307036 318745 364280 383795 509992 537313 614072 637490 767590 1074626 1274980 1535180 2149252 2549960 2686565 3070360 3761191 4298504 5373130 7522382 10746260 15044764 18805955 21492520 30089528 37611910 75223820 150447640