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114745088 = 285971107
BaseRepresentation
bin1101101011011…
…01111100000000
321222220122200002
412311231330000
5213333320323
615215215132
72562213533
oct665557400
9258818602
10114745088
1159852757
12325174a8
131aa07103
141134ca1a
15a118828
hex6d6df00

114745088 has 72 divisors (see below), whose sum is σ = 238412160. Its totient is φ = 55086080.

The previous prime is 114745079. The next prime is 114745117. The reversal of 114745088 is 880547411.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1072331 + ... + 1072437.

It is an arithmetic number, because the mean of its divisors is an integer number (3311280).

Almost surely, 2114745088 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 114745088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119206080).

114745088 is an abundant number, since it is smaller than the sum of its proper divisors (123667072).

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

114745088 is an equidigital number, since it uses as much as digits as its factorization.

114745088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 38.

The square root of 114745088 is about 10711.9133678349. The cubic root of 114745088 is about 485.9348363353.

The spelling of 114745088 in words is "one hundred fourteen million, seven hundred forty-five thousand, eighty-eight".

Divisors: 1 2 4 8 16 32 59 64 71 107 118 128 142 214 236 256 284 428 472 568 856 944 1136 1712 1888 2272 3424 3776 4189 4544 6313 6848 7552 7597 8378 9088 12626 13696 15104 15194 16756 18176 25252 27392 30388 33512 50504 60776 67024 101008 121552 134048 202016 243104 268096 404032 448223 486208 536192 808064 896446 972416 1072384 1616128 1792892 1944832 3585784 7171568 14343136 28686272 57372544 114745088