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114004320 = 2535237509
BaseRepresentation
bin1101100101110…
…01000101100000
321221112000112020
412302321011200
5213141114240
615151301440
72553010053
oct662710540
9257460466
10114004320
1159397151
123221a880
131a807ba1
14111d8a9a
15a01e0d0
hex6cb9160

114004320 has 48 divisors (see below), whose sum is σ = 359115120. Its totient is φ = 30401024.

The previous prime is 114004301. The next prime is 114004321. The reversal of 114004320 is 23400411.

It is a tau number, because it is divible by the number of its divisors (48).

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 114004320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114004321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118275 + ... + 119234.

It is an arithmetic number, because the mean of its divisors is an integer number (7481565).

Almost surely, 2114004320 is an apocalyptic number.

114004320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114004320 is an abundant number, since it is smaller than the sum of its proper divisors (245110800).

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

114004320 is a wasteful number, since it uses less digits than its factorization.

114004320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237527 (or 237519 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 114004320 is about 10677.2805526501. The cubic root of 114004320 is about 484.8868833162.

Adding to 114004320 its reverse (23400411), we get a palindrome (137404731).

The spelling of 114004320 in words is "one hundred fourteen million, four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 237509 475018 712527 950036 1187545 1425054 1900072 2375090 2850108 3562635 3800144 4750180 5700216 7125270 7600288 9500360 11400432 14250540 19000720 22800864 28501080 38001440 57002160 114004320