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114666420 = 223511712447
BaseRepresentation
bin1101101010110…
…10101110110100
321222202122202110
412311122232310
5213323311140
615213411020
72561435301
oct665325664
9258678673
10114666420
11597a9640
1232499a70
131a9aa36b
141132c0a8
15a100380
hex6d5abb4

114666420 has 96 divisors (see below), whose sum is σ = 355332096. Its totient is φ = 27395200.

The previous prime is 114666407. The next prime is 114666421. The reversal of 114666420 is 24666411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114666421) 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, 45637 + ... + 48083.

It is an arithmetic number, because the mean of its divisors is an integer number (3701376).

Almost surely, 2114666420 is an apocalyptic number.

114666420 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 114666420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177666048).

114666420 is an abundant number, since it is smaller than the sum of its proper divisors (240665676).

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

114666420 is a wasteful number, since it uses less digits than its factorization.

114666420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2541 (or 2539 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 114666420 is about 10708.2407518696. The cubic root of 114666420 is about 485.8237603790.

Subtracting from 114666420 its reverse (24666411), we obtain a palindrome (90000009).

The spelling of 114666420 in words is "one hundred fourteen million, six hundred sixty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 71 110 132 142 165 213 220 284 330 355 426 660 710 781 852 1065 1420 1562 2130 2343 2447 3124 3905 4260 4686 4894 7341 7810 9372 9788 11715 12235 14682 15620 23430 24470 26917 29364 36705 46860 48940 53834 73410 80751 107668 134585 146820 161502 173737 269170 323004 347474 403755 521211 538340 694948 807510 868685 1042422 1615020 1737370 1911107 2084844 2606055 3474740 3822214 5212110 5733321 7644428 9555535 10424220 11466642 19111070 22933284 28666605 38222140 57333210 114666420