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201403104 = 25371072801
BaseRepresentation
bin11000000000100…
…10101011100000
3112000222100010020
430000102223200
5403024344404
631552433440
74663620030
oct1400225340
9460870106
10201403104
11a3761151
1257548880
1332958b46
141ca698c0
1512a34ed9
hexc012ae0

201403104 has 96 divisors (see below), whose sum is σ = 610073856. Its totient is φ = 56985600.

The previous prime is 201403093. The next prime is 201403123. The reversal of 201403104 is 401304102.

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

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, 70504 + ... + 73304.

It is an arithmetic number, because the mean of its divisors is an integer number (6354936).

Almost surely, 2201403104 is an apocalyptic number.

201403104 is a gapful number since it is divisible by the number (24) 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 201403104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305036928).

201403104 is an abundant number, since it is smaller than the sum of its proper divisors (408670752).

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

201403104 is a wasteful number, since it uses less digits than its factorization.

201403104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2928 (or 2920 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 201403104 is about 14191.6561401409. The cubic root of 201403104 is about 586.1679289794.

Adding to 201403104 its reverse (401304102), we get a palindrome (602707206).

The spelling of 201403104 in words is "two hundred one million, four hundred three thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 107 112 168 214 224 321 336 428 642 672 749 856 1284 1498 1712 2247 2568 2801 2996 3424 4494 5136 5602 5992 8403 8988 10272 11204 11984 16806 17976 19607 22408 23968 33612 35952 39214 44816 58821 67224 71904 78428 89632 117642 134448 156856 235284 268896 299707 313712 470568 599414 627424 899121 941136 1198828 1798242 1882272 2097949 2397656 3596484 4195898 4795312 6293847 7192968 8391796 9590624 12587694 14385936 16783592 25175388 28771872 33567184 50350776 67134368 100701552 201403104