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114574104 = 233219611373
BaseRepresentation
bin1101101010001…
…00001100011000
321222120222010100
412311010030120
5213312332404
615211415400
72560602201
oct665041430
9258528110
10114574104
1159746247
1232454560
131a977338
14113065a8
15a0d2d39
hex6d44318

114574104 has 96 divisors (see below), whose sum is σ = 332233200. Its totient is φ = 35562240.

The previous prime is 114574091. The next prime is 114574111. The reversal of 114574104 is 401475411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82762 + ... + 84134.

Almost surely, 2114574104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114574104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166116600).

114574104 is an abundant number, since it is smaller than the sum of its proper divisors (217659096).

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

114574104 is a wasteful number, since it uses less digits than its factorization.

114574104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 114574104 is about 10703.9293719643. The cubic root of 114574104 is about 485.6933492047.

The spelling of 114574104 in words is "one hundred fourteen million, five hundred seventy-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 61 72 76 114 122 152 171 183 228 244 342 366 456 488 549 684 732 1098 1159 1368 1373 1464 2196 2318 2746 3477 4119 4392 4636 5492 6954 8238 9272 10431 10984 12357 13908 16476 20862 24714 26087 27816 32952 41724 49428 52174 78261 83448 83753 98856 104348 156522 167506 208696 234783 251259 313044 335012 469566 502518 626088 670024 753777 939132 1005036 1507554 1591307 1878264 2010072 3015108 3182614 4773921 6030216 6365228 9547842 12730456 14321763 19095684 28643526 38191368 57287052 114574104