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400103040 = 2735208387
BaseRepresentation
bin10111110110010…
…001011010000000
31000212212100012010
4113312101122000
51304411244130
6103411332520
712625551111
oct2766213200
91025770163
10400103040
11195936377
12b1bb1140
1364b7947c
143b1d0208
15251d40b0
hex17d91680

400103040 has 64 divisors (see below), whose sum is σ = 1275334560. Its totient is φ = 106693632.

The previous prime is 400102993. The next prime is 400103047. The reversal of 400103040 is 40301004.

It is a tau number, because it is divible by the number of its divisors (64).

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 (400103047) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 102274 + ... + 106113.

Almost surely, 2400103040 is an apocalyptic number.

400103040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400103040 is an abundant number, since it is smaller than the sum of its proper divisors (875231520).

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

400103040 is a wasteful number, since it uses less digits than its factorization.

400103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208409 (or 208397 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 400103040 is about 20002.5758341270. The cubic root of 400103040 is about 736.8695613973.

Adding to 400103040 its reverse (40301004), we get a palindrome (440404044).

The spelling of 400103040 in words is "four hundred million, one hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 208387 416774 625161 833548 1041935 1250322 1667096 2083870 2500644 3125805 3334192 4167740 5001288 6251610 6668384 8335480 10002576 12503220 13336768 16670960 20005152 25006440 26673536 33341920 40010304 50012880 66683840 80020608 100025760 133367680 200051520 400103040