Search a number
-
+
402040440 = 233251139883
BaseRepresentation
bin10111111101101…
…010011001111000
31001000111202210200
4113331222121320
51310410243230
6103521042200
712651200364
oct2775523170
91030452720
10402040440
11196a39a2a
12b2786360
13653a7269
143b5762a4
1525468160
hex17f6a678

402040440 has 96 divisors (see below), whose sum is σ = 1318327920. Its totient is φ = 106251264.

The previous prime is 402040439. The next prime is 402040477. The reversal of 402040440 is 44040204.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35739 + ... + 45621.

Almost surely, 2402040440 is an apocalyptic number.

402040440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402040440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659163960).

402040440 is an abundant number, since it is smaller than the sum of its proper divisors (916287480).

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

402040440 is a wasteful number, since it uses less digits than its factorization.

402040440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10013 (or 10006 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 402040440 is about 20050.9461123409. The cubic root of 402040440 is about 738.0570163277.

Adding to 402040440 its reverse (44040204), we get a palindrome (446080644).

The spelling of 402040440 in words is "four hundred two million, forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 113 120 180 226 339 360 452 565 678 904 1017 1130 1356 1695 2034 2260 2712 3390 4068 4520 5085 6780 8136 9883 10170 13560 19766 20340 29649 39532 40680 49415 59298 79064 88947 98830 118596 148245 177894 197660 237192 296490 355788 395320 444735 592980 711576 889470 1116779 1185960 1778940 2233558 3350337 3557880 4467116 5583895 6700674 8934232 10051011 11167790 13401348 16751685 20102022 22335580 26802696 33503370 40204044 44671160 50255055 67006740 80408088 100510110 134013480 201020220 402040440