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10404153400 = 2352894571279
BaseRepresentation
bin10011011000010001…
…01100100000111000
3222212002020202100211
421230020230200320
5132301430402100
64440221040504
7515552562514
oct115410544070
928762222324
1010404153400
114459967493
1220243b6134
13c9a6543b4
14709ac9144
1540d5e21ba
hex26c22c838

10404153400 has 96 divisors (see below), whose sum is σ = 24534144000. Its totient is φ = 4102686720.

The previous prime is 10404153371. The next prime is 10404153413. The reversal of 10404153400 is 435140401.

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 23 ways as a sum of consecutive naturals, for example, 8133961 + ... + 8135239.

It is an arithmetic number, because the mean of its divisors is an integer number (255564000).

Almost surely, 210404153400 is an apocalyptic number.

10404153400 is a gapful number since it is divisible by the number (10) 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 10404153400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12267072000).

10404153400 is an abundant number, since it is smaller than the sum of its proper divisors (14129990600).

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

10404153400 is a wasteful number, since it uses less digits than its factorization.

10404153400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1841 (or 1832 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 10404153400 its reverse (435140401), we get a palindrome (10839293801).

The spelling of 10404153400 in words is "ten billion, four hundred four million, one hundred fifty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 89 100 178 200 356 445 457 712 890 914 1279 1780 1828 2225 2285 2558 3560 3656 4450 4570 5116 6395 8900 9140 10232 11425 12790 17800 18280 22850 25580 31975 40673 45700 51160 63950 81346 91400 113831 127900 162692 203365 227662 255800 325384 406730 455324 569155 584503 813460 910648 1016825 1138310 1169006 1626920 2033650 2276620 2338012 2845775 2922515 4067300 4553240 4676024 5691550 5845030 8134600 11383100 11690060 14612575 22766200 23380120 29225150 52020767 58450300 104041534 116900600 208083068 260103835 416166136 520207670 1040415340 1300519175 2080830680 2601038350 5202076700 10404153400