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114402120 = 23357136193
BaseRepresentation
bin1101101000110…
…10001101001000
321222021020012120
412310122031020
5213241331440
615204011240
72556254610
oct664321510
9258236176
10114402120
1159639008
1232390b20
131a916c81
141129da40
15a09bdd0
hex6d1a348

114402120 has 64 divisors (see below), whose sum is σ = 392238720. Its totient is φ = 26148864.

The previous prime is 114402103. The next prime is 114402131. The reversal of 114402120 is 21204411.

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 114402120.

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, 67257 + ... + 68936.

It is an arithmetic number, because the mean of its divisors is an integer number (6128730).

Almost surely, 2114402120 is an apocalyptic number.

114402120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114402120 is an abundant number, since it is smaller than the sum of its proper divisors (277836600).

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

114402120 is a wasteful number, since it uses less digits than its factorization.

114402120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136214 (or 136210 counting only the distinct ones).

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

The square root of 114402120 is about 10695.8926696186. The cubic root of 114402120 is about 485.4502072481.

Adding to 114402120 its reverse (21204411), we get a palindrome (135606531).

The spelling of 114402120 in words is "one hundred fourteen million, four hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 136193 272386 408579 544772 680965 817158 953351 1089544 1361930 1634316 1906702 2042895 2723860 2860053 3268632 3813404 4085790 4766755 5447720 5720106 7626808 8171580 9533510 11440212 14300265 16343160 19067020 22880424 28600530 38134040 57201060 114402120