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104118144 = 2731320857
BaseRepresentation
bin1100011010010…
…11011110000000
321020220202020120
412031023132000
5203123240034
614155340240
72402663304
oct615133600
9236822216
10104118144
1153854559
122aa51680
1318756090
14db83d04
159219c49
hex634b780

104118144 has 64 divisors (see below), whose sum is σ = 297852240. Its totient is φ = 32034816.

The previous prime is 104118143. The next prime is 104118187. The reversal of 104118144 is 441811401.

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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104118143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5437 + ... + 15420.

Almost surely, 2104118144 is an apocalyptic number.

It is an amenable number.

104118144 is an abundant number, since it is smaller than the sum of its proper divisors (193734096).

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

104118144 is a wasteful number, since it uses less digits than its factorization.

104118144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20887 (or 20875 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 104118144 is about 10203.8298692207. The cubic root of 104118144 is about 470.4449445695. Note that the first 3 decimals are identical.

Adding to 104118144 its reverse (441811401), we get a palindrome (545929545).

The spelling of 104118144 in words is "one hundred four million, one hundred eighteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 20857 41714 62571 83428 125142 166856 250284 271141 333712 500568 542282 667424 813423 1001136 1084564 1334848 1626846 2002272 2169128 2669696 3253692 4004544 4338256 6507384 8009088 8676512 13014768 17353024 26029536 34706048 52059072 104118144