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402072030 = 232514929983
BaseRepresentation
bin10111111101110…
…010000111011110
31001000120101010200
4113331302013132
51310412301110
6103521444330
712651361443
oct2775620736
91030511120
10402072030
11196a60738
12b27a06a6
13653b8759
143b5839ca
15254726c0
hex17f721de

402072030 has 48 divisors (see below), whose sum is σ = 1052438400. Its totient is φ = 106496064.

The previous prime is 402072019. The next prime is 402072031. The reversal of 402072030 is 30270204.

It is a happy number.

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 = 402071994 and 402072012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402072031) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1582 + ... + 28401.

It is an arithmetic number, because the mean of its divisors is an integer number (21925800).

Almost surely, 2402072030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402072030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526219200).

402072030 is an abundant number, since it is smaller than the sum of its proper divisors (650366370).

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

402072030 is a wasteful number, since it uses less digits than its factorization.

402072030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30145 (or 30142 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 402072030 is about 20051.7338402443. The cubic root of 402072030 is about 738.0763465644.

The spelling of 402072030 in words is "four hundred two million, seventy-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 149 298 447 745 894 1341 1490 2235 2682 4470 6705 13410 29983 59966 89949 149915 179898 269847 299830 449745 539694 899490 1349235 2698470 4467467 8934934 13402401 22337335 26804802 40207203 44674670 67012005 80414406 134024010 201036015 402072030