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400231040 = 27511139409
BaseRepresentation
bin10111110110110…
…000101010000000
31000220002211202212
4113312300222000
51304424343130
6103414201252
712626623226
oct2766605200
91026084685
10400231040
11195a13560
12b2053228
1364bc2801
143b224b16
152520be95
hex17db0a80

400231040 has 128 divisors (see below), whose sum is σ = 1053864000. Its totient is φ = 144138240.

The previous prime is 400231019. The next prime is 400231093. The reversal of 400231040 is 40132004.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 978356 + ... + 978764.

Almost surely, 2400231040 is an apocalyptic number.

400231040 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 400231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526932000).

400231040 is an abundant number, since it is smaller than the sum of its proper divisors (653632960).

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

400231040 is a wasteful number, since it uses less digits than its factorization.

400231040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 400231040 is about 20005.7751661864. The cubic root of 400231040 is about 736.9481321970.

Adding to 400231040 its reverse (40132004), we get a palindrome (440363044).

The spelling of 400231040 in words is "four hundred million, two hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 139 160 176 220 278 320 352 409 440 556 640 695 704 818 880 1112 1390 1408 1529 1636 1760 2045 2224 2780 3058 3272 3520 4090 4448 4499 5560 6116 6544 7040 7645 8180 8896 8998 11120 12232 13088 15290 16360 17792 17996 22240 22495 24464 26176 30580 32720 35992 44480 44990 48928 52352 56851 61160 65440 71984 88960 89980 97856 113702 122320 130880 143968 179960 195712 227404 244640 261760 284255 287936 359920 454808 489280 568510 575872 625361 719840 909616 978560 1137020 1250722 1439680 1819232 2274040 2501444 2879360 3126805 3638464 4548080 5002888 6253610 7276928 9096160 10005776 12507220 18192320 20011552 25014440 36384640 40023104 50028880 80046208 100057760 200115520 400231040