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400242102 = 231383211293
BaseRepresentation
bin10111110110110…
…011010110110110
31000220010101221120
4113312303112312
51304430221402
6103414324410
712630000411
oct2766632666
91026111846
10400242102
11195a208a7
12b2059706
1364bc7860
143b228b78
15252103bc
hex17db35b6

400242102 has 64 divisors (see below), whose sum is σ = 879572736. Its totient is φ = 120677760.

The previous prime is 400242097. The next prime is 400242103. The reversal of 400242102 is 201242004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400242103) 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 31 ways as a sum of consecutive naturals, for example, 1365868 + ... + 1366160.

It is an arithmetic number, because the mean of its divisors is an integer number (13743324).

Almost surely, 2400242102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400242102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439786368).

400242102 is an abundant number, since it is smaller than the sum of its proper divisors (479330634).

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

400242102 is a wasteful number, since it uses less digits than its factorization.

400242102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605.

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 400242102 is about 20006.0516344430. The cubic root of 400242102 is about 736.9549216464.

Adding to 400242102 its reverse (201242004), we get a palindrome (601484106).

The spelling of 400242102 in words is "four hundred million, two hundred forty-two thousand, one hundred two".

Divisors: 1 2 3 6 13 26 39 78 83 166 211 249 293 422 498 586 633 879 1079 1266 1758 2158 2743 3237 3809 5486 6474 7618 8229 11427 16458 17513 22854 24319 35026 48638 52539 61823 72957 105078 123646 145914 185469 227669 316147 370938 455338 632294 683007 803699 948441 1366014 1607398 1896882 2411097 4822194 5131309 10262618 15393927 30787854 66707017 133414034 200121051 400242102