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114727104 = 26362459
BaseRepresentation
bin1101101011010…
…01100011000000
321222212202000000
412311221203000
5213332231404
615215000000
72562110232
oct665514300
9258782000
10114727104
1159840198
1232509000
131a9cbb7b
1411346252
15a113339
hex6d698c0

114727104 has 98 divisors (see below), whose sum is σ = 341475060. Its totient is φ = 38226816.

The previous prime is 114727099. The next prime is 114727147. The reversal of 114727104 is 401727411.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 45427 + ... + 47885.

Almost surely, 2114727104 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 114727104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170737530).

114727104 is an abundant number, since it is smaller than the sum of its proper divisors (226747956).

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

114727104 is an frugal number, since it uses more digits than its factorization.

114727104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2489 (or 2464 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 114727104 is about 10711.0738957399. The cubic root of 114727104 is about 485.9094481499.

The spelling of 114727104 in words is "one hundred fourteen million, seven hundred twenty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1728 1944 2459 2592 2916 3888 4918 5184 5832 7377 7776 9836 11664 14754 15552 19672 22131 23328 29508 39344 44262 46656 59016 66393 78688 88524 118032 132786 157376 177048 199179 236064 265572 354096 398358 472128 531144 597537 708192 796716 1062288 1195074 1416384 1593432 1792611 2124576 2390148 3186864 3585222 4249152 4780296 6373728 7170444 9560592 12747456 14340888 19121184 28681776 38242368 57363552 114727104