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114798420 = 2232511371567
BaseRepresentation
bin1101101011110…
…10111101010100
322000000100211100
412311322331110
5213342022140
615220310100
72562525162
oct665727524
9260010740
10114798420
1159889830
1232542330
131aa25479
1411364232
15a129530
hex6d7af54

114798420 has 144 divisors (see below), whose sum is σ = 390394368. Its totient is φ = 27060480.

The previous prime is 114798419. The next prime is 114798421. The reversal of 114798420 is 24897411.

114798420 is a `hidden beast` number, since 1 + 147 + 98 + 420 = 666.

It is an interprime number because it is at equal distance from previous prime (114798419) and next prime (114798421).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114798421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72477 + ... + 74043.

It is an arithmetic number, because the mean of its divisors is an integer number (2711072).

Almost surely, 2114798420 is an apocalyptic number.

114798420 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 114798420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195197184).

114798420 is an abundant number, since it is smaller than the sum of its proper divisors (275595948).

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

114798420 is a wasteful number, since it uses less digits than its factorization.

114798420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 114798420 is about 10714.4024565068. The cubic root of 114798420 is about 486.0101100371.

The spelling of 114798420 in words is "one hundred fourteen million, seven hundred ninety-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 37 44 45 55 60 66 74 90 99 110 111 132 148 165 180 185 198 220 222 330 333 370 396 407 444 495 555 660 666 740 814 990 1110 1221 1332 1567 1628 1665 1980 2035 2220 2442 3134 3330 3663 4070 4701 4884 6105 6268 6660 7326 7835 8140 9402 12210 14103 14652 15670 17237 18315 18804 23505 24420 28206 31340 34474 36630 47010 51711 56412 57979 68948 70515 73260 86185 94020 103422 115958 141030 155133 172370 173937 206844 231916 258555 282060 289895 310266 344740 347874 517110 521811 579790 620532 637769 695748 775665 869685 1034220 1043622 1159580 1275538 1551330 1739370 1913307 2087244 2551076 2609055 3102660 3188845 3478740 3826614 5218110 5739921 6377690 7653228 9566535 10436220 11479842 12755380 19133070 22959684 28699605 38266140 57399210 114798420