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114133740 = 22357238821
BaseRepresentation
bin1101100110110…
…00101011101100
321221202121001120
412303120223230
5213204234430
615154140540
72554056300
oct663305354
9257677046
10114133740
1159475406
1232281750
131a851a76
141122dd00
15a047610
hex6cd8aec

114133740 has 72 divisors (see below), whose sum is σ = 371759472. Its totient is φ = 26087040.

The previous prime is 114133727. The next prime is 114133753. The reversal of 114133740 is 47331411.

It is an interprime number because it is at equal distance from previous prime (114133727) and next prime (114133753).

It is a zygodrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 114133740.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16471 + ... + 22350.

It is an arithmetic number, because the mean of its divisors is an integer number (5163326).

Almost surely, 2114133740 is an apocalyptic number.

114133740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114133740 is an abundant number, since it is smaller than the sum of its proper divisors (257625732).

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

114133740 is a wasteful number, since it uses less digits than its factorization.

114133740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38847 (or 38838 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 114133740 is about 10683.3393655729. The cubic root of 114133740 is about 485.0702983799.

The spelling of 114133740 in words is "one hundred fourteen million, one hundred thirty-three thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 38821 77642 116463 155284 194105 232926 271747 388210 465852 543494 582315 776420 815241 1086988 1164630 1358735 1630482 1902229 2329260 2717470 3260964 3804458 4076205 5434940 5706687 7608916 8152410 9511145 11413374 16304820 19022290 22826748 28533435 38044580 57066870 114133740