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402040100 = 225272117459
BaseRepresentation
bin10111111101101…
…010010100100100
31001000111202100002
4113331222110210
51310410240400
6103521040432
712651166400
oct2775522444
91030452302
10402040100
11196a39750
12b2786118
13653a7067
143b576100
1525467ed5
hex17f6a524

402040100 has 108 divisors (see below), whose sum is σ = 1107272880. Its totient is φ = 125294400.

The previous prime is 402040091. The next prime is 402040103. The reversal of 402040100 is 1040204.

It is a Harshad number since it is a multiple of its sum of digits (11).

It is not an unprimeable number, because it can be changed into a prime (402040103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50171 + ... + 57629.

Almost surely, 2402040100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402040100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553636440).

402040100 is an abundant number, since it is smaller than the sum of its proper divisors (705232780).

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

402040100 is a wasteful number, since it uses less digits than its factorization.

402040100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7498 (or 7484 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 402040100 is about 20050.9376339362. The cubic root of 402040100 is about 738.0568082728.

Adding to 402040100 its reverse (1040204), we get a palindrome (403080304).

The spelling of 402040100 in words is "four hundred two million, forty thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 49 50 55 70 77 98 100 110 140 154 175 196 220 245 275 308 350 385 490 539 550 700 770 980 1078 1100 1225 1540 1925 2156 2450 2695 3850 4900 5390 7459 7700 10780 13475 14918 26950 29836 37295 52213 53900 74590 82049 104426 149180 164098 186475 208852 261065 328196 365491 372950 410245 522130 574343 730982 745900 820490 1044260 1148686 1305325 1461964 1640980 1827455 2051225 2297372 2610650 2871715 3654910 4020401 4102450 5221300 5743430 7309820 8040802 8204900 9137275 11486860 14358575 16081604 18274550 20102005 28717150 36549100 40204010 57434300 80408020 100510025 201020050 402040100