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40040400 = 2435261547
BaseRepresentation
bin1001100010111…
…1011111010000
32210100021002210
42120233133100
540222243100
63550112120
7664223601
oct230573720
983307083
1040040400
1120668a44
12114ab640
1383ac05a
145463da8
1537adc50
hex262f7d0

40040400 has 120 divisors (see below), whose sum is σ = 130603744. Its totient is φ = 10483200.

The previous prime is 40040393. The next prime is 40040411. The reversal of 40040400 is 404004.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 72927 + ... + 73473.

Almost surely, 240040400 is an apocalyptic number.

40040400 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 40040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65301872).

40040400 is an abundant number, since it is smaller than the sum of its proper divisors (90563344).

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

40040400 is a wasteful number, since it uses less digits than its factorization.

40040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 40040400 is about 6327.7484147207. The cubic root of 40040400 is about 342.1102889742.

Adding to 40040400 its reverse (404004), we get a palindrome (40444404).

The spelling of 40040400 in words is "forty million, forty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 61 75 80 100 120 122 150 183 200 240 244 300 305 366 400 488 547 600 610 732 915 976 1094 1200 1220 1464 1525 1641 1830 2188 2440 2735 2928 3050 3282 3660 4376 4575 4880 5470 6100 6564 7320 8205 8752 9150 10940 12200 13128 13675 14640 16410 18300 21880 24400 26256 27350 32820 33367 36600 41025 43760 54700 65640 66734 73200 82050 100101 109400 131280 133468 164100 166835 200202 218800 266936 328200 333670 400404 500505 533872 656400 667340 800808 834175 1001010 1334680 1601616 1668350 2002020 2502525 2669360 3336700 4004040 5005050 6673400 8008080 10010100 13346800 20020200 40040400