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402011040 = 25353112693
BaseRepresentation
bin10111111101100…
…011001110100000
31001000110021110210
4113331203032200
51310403323130
6103520254120
712651015564
oct2775431640
91030407423
10402011040
11196a19932
12b2771340
1365396a72
143b5696a4
152545e5b0
hex17f633a0

402011040 has 96 divisors (see below), whose sum is σ = 1270878336. Its totient is φ = 106818560.

The previous prime is 402011033. The next prime is 402011041. The reversal of 402011040 is 40110204.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4020110402 = 323225752563763200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (402011041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147934 + ... + 150626.

It is an arithmetic number, because the mean of its divisors is an integer number (13238316).

Almost surely, 2402011040 is an apocalyptic number.

402011040 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 402011040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635439168).

402011040 is an abundant number, since it is smaller than the sum of its proper divisors (868867296).

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

402011040 is a wasteful number, since it uses less digits than its factorization.

402011040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3022 (or 3014 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 402011040 is about 20050.2129664500. The cubic root of 402011040 is about 738.0390252643.

Adding to 402011040 its reverse (40110204), we get a palindrome (442121244).

The spelling of 402011040 in words is "four hundred two million, eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 311 480 622 933 1244 1555 1866 2488 2693 3110 3732 4665 4976 5386 6220 7464 8079 9330 9952 10772 12440 13465 14928 16158 18660 21544 24880 26930 29856 32316 37320 40395 43088 49760 53860 64632 74640 80790 86176 107720 129264 149280 161580 215440 258528 323160 430880 646320 837523 1292640 1675046 2512569 3350092 4187615 5025138 6700184 8375230 10050276 12562845 13400368 16750460 20100552 25125690 26800736 33500920 40201104 50251380 67001840 80402208 100502760 134003680 201005520 402011040