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401256030 = 23578323021
BaseRepresentation
bin10111111010101…
…010111001011110
31000222000220210110
4113322222321132
51310210143110
6103452150450
712641422440
oct2772527136
91028026713
10401256030
1119655365a
12b2468426
1365191206
143b410490
1525360a20
hex17eaae5e

401256030 has 64 divisors (see below), whose sum is σ = 1113896448. Its totient is φ = 90606720.

The previous prime is 401256019. The next prime is 401256043. The reversal of 401256030 is 30652104.

It is a happy number.

It is a super-2 number, since 2×4012560302 = 322012803222721800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 401255988 and 401256006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5920 + ... + 28940.

It is an arithmetic number, because the mean of its divisors is an integer number (17404632).

Almost surely, 2401256030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401256030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556948224).

401256030 is an abundant number, since it is smaller than the sum of its proper divisors (712640418).

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

401256030 is a wasteful number, since it uses less digits than its factorization.

401256030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23121.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 401256030 is about 20031.3761384484. The cubic root of 401256030 is about 737.5767029291.

The spelling of 401256030 in words is "four hundred one million, two hundred fifty-six thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 83 105 166 210 249 415 498 581 830 1162 1245 1743 2490 2905 3486 5810 8715 17430 23021 46042 69063 115105 138126 161147 230210 322294 345315 483441 690630 805735 966882 1611470 1910743 2417205 3821486 4834410 5732229 9553715 11464458 13375201 19107430 26750402 28661145 40125603 57322290 66876005 80251206 133752010 200628015 401256030