Search a number
-
+
402031000 = 2353779727
BaseRepresentation
bin10111111101101…
…000000110011000
31001000111021212001
4113331220012120
51310404443000
6103520530344
712651131020
oct2775500630
91030437761
10402031000
11196a32928
12b27809b4
13653a2b87
143b572a80
152546546a
hex17f68198

402031000 has 128 divisors (see below), whose sum is σ = 1090252800. Its totient is φ = 135907200.

The previous prime is 402030983. The next prime is 402031027. The reversal of 402031000 is 130204.

It is a super-2 number, since 2×4020310002 = 323257849922000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 552637 + ... + 553363.

It is an arithmetic number, because the mean of its divisors is an integer number (8517600).

Almost surely, 2402031000 is an apocalyptic number.

402031000 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 402031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545126400).

402031000 is an abundant number, since it is smaller than the sum of its proper divisors (688221800).

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

402031000 is a wasteful number, since it uses less digits than its factorization.

402031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 402031000 is about 20050.7107105958. The cubic root of 402031000 is about 738.0512397009.

Adding to 402031000 its reverse (130204), we get a palindrome (402161204).

The spelling of 402031000 in words is "four hundred two million, thirty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 79 100 125 140 158 175 200 250 280 316 350 395 500 553 632 700 727 790 875 1000 1106 1400 1454 1580 1750 1975 2212 2765 2908 3160 3500 3635 3950 4424 5089 5530 5816 7000 7270 7900 9875 10178 11060 13825 14540 15800 18175 19750 20356 22120 25445 27650 29080 36350 39500 40712 50890 55300 57433 69125 72700 79000 90875 101780 110600 114866 127225 138250 145400 181750 203560 229732 254450 276500 287165 363500 402031 459464 508900 553000 574330 636125 727000 804062 1017800 1148660 1272250 1435825 1608124 2010155 2297320 2544500 2871650 3216248 4020310 5089000 5743300 7179125 8040620 10050775 11486600 14358250 16081240 20101550 28716500 40203100 50253875 57433000 80406200 100507750 201015500 402031000