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10400030400 = 263522166673
BaseRepresentation
bin10011010111110001…
…11101111011000000
3222211210111021200010
421223320331323000
5132244401433100
64435552424520
7515502541224
oct115370757300
928753437603
1010400030400
114457600851
122022b48140
13c9983c856
14709334784
1540d07a750
hex26be3dec0

10400030400 has 84 divisors (see below), whose sum is σ = 34120782152. Its totient is φ = 2773340160.

The previous prime is 10400030383. The next prime is 10400030413. The reversal of 10400030400 is 403000401.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1078537 + ... + 1088136.

Almost surely, 210400030400 is an apocalyptic number.

10400030400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10400030400 is an abundant number, since it is smaller than the sum of its proper divisors (23720751752).

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

10400030400 is a wasteful number, since it uses less digits than its factorization.

10400030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2166698 (or 2166683 counting only the distinct ones).

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

Adding to 10400030400 its reverse (403000401), we get a palindrome (10803030801).

The spelling of 10400030400 in words is "ten billion, four hundred million, thirty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 150 160 192 200 240 300 320 400 480 600 800 960 1200 1600 2400 4800 2166673 4333346 6500019 8666692 10833365 13000038 17333384 21666730 26000076 32500095 34666768 43333460 52000152 54166825 65000190 69333536 86666920 104000304 108333650 130000380 138667072 162500475 173333840 208000608 216667300 260000760 325000950 346667680 416001216 433334600 520001520 650001900 693335360 866669200 1040003040 1300003800 1733338400 2080006080 2600007600 3466676800 5200015200 10400030400