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114210420 = 223517412731
BaseRepresentation
bin1101100111010…
…11011001110100
321221220111020120
412303223121310
5213214213140
615155531540
72554525662
oct663533164
9257814216
10114210420
1159517a85
12322b9bb0
131a87a93c
141124dc32
15a0601d0
hex6ceb674

114210420 has 96 divisors (see below), whose sum is σ = 346985856. Its totient is φ = 27955200.

The previous prime is 114210401. The next prime is 114210431. The reversal of 114210420 is 24012411.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 114210420.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40455 + ... + 43185.

It is an arithmetic number, because the mean of its divisors is an integer number (3614436).

Almost surely, 2114210420 is an apocalyptic number.

114210420 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 114210420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173492928).

114210420 is an abundant number, since it is smaller than the sum of its proper divisors (232775436).

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

114210420 is a wasteful number, since it uses less digits than its factorization.

114210420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2801 (or 2799 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 114210420 is about 10686.9275285276. The cubic root of 114210420 is about 485.1789044877.

Adding to 114210420 its reverse (24012411), we get a palindrome (138222831).

The spelling of 114210420 in words is "one hundred fourteen million, two hundred ten thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 41 51 60 68 82 85 102 123 164 170 204 205 246 255 340 410 492 510 615 697 820 1020 1230 1394 2091 2460 2731 2788 3485 4182 5462 6970 8193 8364 10455 10924 13655 13940 16386 20910 27310 32772 40965 41820 46427 54620 81930 92854 111971 139281 163860 185708 223942 232135 278562 335913 447884 464270 557124 559855 671826 696405 928540 1119710 1343652 1392810 1679565 1903507 2239420 2785620 3359130 3807014 5710521 6718260 7614028 9517535 11421042 19035070 22842084 28552605 38070140 57105210 114210420