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401202126 = 233134313291
BaseRepresentation
bin10111111010011…
…101101111001110
31000221221011212000
4113322131233032
51310201432001
6103451053130
712641106333
oct2772355716
91027834760
10401202126
11196517106
12b24411a6
1365172810
143b3d898a
152534ea86
hex17e9dbce

401202126 has 64 divisors (see below), whose sum is σ = 982544640. Its totient is φ = 120566880.

The previous prime is 401202107. The next prime is 401202143. The reversal of 401202126 is 621202104.

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

It is a junction number, because it is equal to n+sod(n) for n = 401202099 and 401202108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23541 + ... + 36831.

It is an arithmetic number, because the mean of its divisors is an integer number (15352260).

Almost surely, 2401202126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401202126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491272320).

401202126 is an abundant number, since it is smaller than the sum of its proper divisors (581342514).

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

401202126 is a wasteful number, since it uses less digits than its factorization.

401202126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13358 (or 13352 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 401202126 is about 20030.0306040705. The cubic root of 401202126 is about 737.5436732157.

The spelling of 401202126 in words is "four hundred one million, two hundred two thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 43 54 78 86 117 129 234 258 351 387 559 702 774 1118 1161 1677 2322 3354 5031 10062 13291 15093 26582 30186 39873 79746 119619 172783 239238 345566 358857 518349 571513 717714 1036698 1143026 1555047 1714539 3110094 3429078 4665141 5143617 7429669 9330282 10287234 14859338 15430851 22289007 30861702 44578014 66867021 133734042 200601063 401202126