Search a number
-
+
400067040 = 25351943867
BaseRepresentation
bin10111110110001…
…000100111100000
31000212210111210210
4113312020213200
51304404121130
6103410454120
712625341132
oct2766104740
91025714723
10400067040
1119591131a
12b1b94340
1364b65c79
143b1c1052
15251c85b0
hex17d889e0

400067040 has 96 divisors (see below), whose sum is σ = 1326568320. Its totient is φ = 101067264.

The previous prime is 400067033. The next prime is 400067071. The reversal of 400067040 is 40760004.

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

It is a junction number, because it is equal to n+sod(n) for n = 400066998 and 400067016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12814 + ... + 31053.

It is an arithmetic number, because the mean of its divisors is an integer number (13818420).

Almost surely, 2400067040 is an apocalyptic number.

400067040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400067040 is an abundant number, since it is smaller than the sum of its proper divisors (926501280).

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

400067040 is a wasteful number, since it uses less digits than its factorization.

400067040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43904 (or 43896 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 400067040 is about 20001.6759297815. The cubic root of 400067040 is about 736.8474603406.

The spelling of 400067040 in words is "four hundred million, sixty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1520 1824 2280 3040 4560 9120 43867 87734 131601 175468 219335 263202 350936 438670 526404 658005 701872 833473 877340 1052808 1316010 1403744 1666946 1754680 2105616 2500419 2632020 3333892 3509360 4167365 4211232 5000838 5264040 6667784 7018720 8334730 10001676 10528080 12502095 13335568 16669460 20003352 21056160 25004190 26671136 33338920 40006704 50008380 66677840 80013408 100016760 133355680 200033520 400067040