[go: up one dir, main page]

Search a number
-
+
401252130 = 2345599827
BaseRepresentation
bin10111111010101…
…001111100100010
31000222000201110000
4113322221330202
51310210032010
6103452120430
712641405166
oct2772517442
91028021400
10401252130
11196550734
12b2466116
136518c4c6
143b40cca6
152535e7c0
hex17ea9f22

401252130 has 80 divisors (see below), whose sum is σ = 1082030400. Its totient is φ = 106692768.

The previous prime is 401252119. The next prime is 401252141. The reversal of 401252130 is 31252104.

401252130 is a `hidden beast` number, since 401 + 252 + 13 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (401252119) and next prime (401252141).

It is a super-2 number, since 2×4012521302 = 322006543659073800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 484777 + ... + 485603.

It is an arithmetic number, because the mean of its divisors is an integer number (13525380).

Almost surely, 2401252130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401252130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541015200).

401252130 is an abundant number, since it is smaller than the sum of its proper divisors (680778270).

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

401252130 is a wasteful number, since it uses less digits than its factorization.

401252130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 401252130 is about 20031.2787909309. The cubic root of 401252130 is about 737.5743133007.

The spelling of 401252130 in words is "four hundred one million, two hundred fifty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 599 810 827 1198 1654 1797 2481 2995 3594 4135 4962 5391 5990 7443 8270 8985 10782 12405 14886 16173 17970 22329 24810 26955 32346 37215 44658 48519 53910 66987 74430 80865 97038 111645 133974 161730 223290 242595 334935 485190 495373 669870 990746 1486119 2476865 2972238 4458357 4953730 7430595 8916714 13375071 14861190 22291785 26750142 40125213 44583570 66875355 80250426 133750710 200626065 401252130