Search a number
-
+
400098240 = 26325138923
BaseRepresentation
bin10111110110010…
…000001111000000
31000212212002121100
4113312100033000
51304411120430
6103411254400
712625531113
oct2766201700
91025762540
10400098240
11195932803
12b1baa400
1364b77229
143b1cc57a
15251d2960
hex17d903c0

400098240 has 84 divisors (see below), whose sum is σ = 1376181144. Its totient is φ = 106692096.

The previous prime is 400098229. The next prime is 400098253. The reversal of 400098240 is 42890004.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 66582 + ... + 72341.

Almost surely, 2400098240 is an apocalyptic number.

400098240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400098240 is an abundant number, since it is smaller than the sum of its proper divisors (976082904).

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

400098240 is a wasteful number, since it uses less digits than its factorization.

400098240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138946 (or 138933 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 400098240 is about 20002.4558492201. The cubic root of 400098240 is about 736.8666146663.

The spelling of 400098240 in words is "four hundred million, ninety-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 138923 277846 416769 555692 694615 833538 1111384 1250307 1389230 1667076 2083845 2222768 2500614 2778460 3334152 4167690 4445536 5001228 5556920 6251535 6668304 8335380 8891072 10002456 11113840 12503070 13336608 16670760 20004912 22227680 25006140 26673216 33341520 40009824 44455360 50012280 66683040 80019648 100024560 133366080 200049120 400098240