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114428754 = 233111910139
BaseRepresentation
bin1101101001000…
…00101101010010
321222022120202000
412310200231102
5213243210004
615204334430
72556425346
oct664405522
9258276660
10114428754
1159657020
12323a4416
131a92612b
14112a9626
15a0a4c39
hex6d20b52

114428754 has 64 divisors (see below), whose sum is σ = 292032000. Its totient is φ = 32847120.

The previous prime is 114428747. The next prime is 114428759. The reversal of 114428754 is 457824411.

It is a happy number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (114428759) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6217 + ... + 16355.

It is an arithmetic number, because the mean of its divisors is an integer number (4563000).

Almost surely, 2114428754 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114428754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146016000).

114428754 is an abundant number, since it is smaller than the sum of its proper divisors (177603246).

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

114428754 is a wasteful number, since it uses less digits than its factorization.

114428754 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10180 (or 10174 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 114428754 is about 10697.1376545317. The cubic root of 114428754 is about 485.4878769392.

The spelling of 114428754 in words is "one hundred fourteen million, four hundred twenty-eight thousand, seven hundred fifty-four".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 99 114 171 198 209 297 342 418 513 594 627 1026 1254 1881 3762 5643 10139 11286 20278 30417 60834 91251 111529 182502 192641 223058 273753 334587 385282 547506 577923 669174 1003761 1155846 1733769 2007522 2119051 3011283 3467538 4238102 5201307 6022566 6357153 10402614 12714306 19071459 38142918 57214377 114428754