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114871280 = 24597113131
BaseRepresentation
bin1101101100011…
…00101111110000
322000011001202212
412312030233300
5213401340110
615222031252
72563250456
oct666145760
9260131685
10114871280
1159929547
1232578528
131aa4c694
14113829d6
15a140e05
hex6d8cbf0

114871280 has 80 divisors (see below), whose sum is σ = 274294944. Its totient is φ = 44728320.

The previous prime is 114871279. The next prime is 114871301. The reversal of 114871280 is 82178411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 876815 + ... + 876945.

Almost surely, 2114871280 is an apocalyptic number.

114871280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114871280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137147472).

114871280 is an abundant number, since it is smaller than the sum of its proper divisors (159423664).

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

114871280 is a wasteful number, since it uses less digits than its factorization.

114871280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 32.

The square root of 114871280 is about 10717.8020134727. The cubic root of 114871280 is about 486.1129082225.

The spelling of 114871280 in words is "one hundred fourteen million, eight hundred seventy-one thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 113 131 194 226 262 388 452 485 524 565 655 776 904 970 1048 1130 1310 1552 1808 1940 2096 2260 2620 3880 4520 5240 7760 9040 10480 10961 12707 14803 21922 25414 29606 43844 50828 54805 59212 63535 74015 87688 101656 109610 118424 127070 148030 175376 203312 219220 236848 254140 296060 438440 508280 592120 876880 1016560 1184240 1435891 2871782 5743564 7179455 11487128 14358910 22974256 28717820 57435640 114871280