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114438450 = 23527731493
BaseRepresentation
bin1101101001000…
…11000100110010
321222100002001010
412310203010302
5213244012300
615204451350
72556465540
oct664430462
9258302033
10114438450
1159663335
12323a9b56
131a92a679
14112acd90
15a0a7a50
hex6d23132

114438450 has 96 divisors (see below), whose sum is σ = 329014656. Its totient is φ = 25781760.

The previous prime is 114438449. The next prime is 114438461. The reversal of 114438450 is 54834411.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75904 + ... + 77396.

It is an arithmetic number, because the mean of its divisors is an integer number (3427236).

Almost surely, 2114438450 is an apocalyptic number.

114438450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114438450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164507328).

114438450 is an abundant number, since it is smaller than the sum of its proper divisors (214576206).

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

114438450 is a wasteful number, since it uses less digits than its factorization.

114438450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 114438450 is about 10697.5908502803. The cubic root of 114438450 is about 485.5015889867.

The spelling of 114438450 in words is "one hundred fourteen million, four hundred thirty-eight thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 73 75 105 146 150 175 210 219 350 365 438 511 525 730 1022 1050 1095 1493 1533 1825 2190 2555 2986 3066 3650 4479 5110 5475 7465 7665 8958 10451 10950 12775 14930 15330 20902 22395 25550 31353 37325 38325 44790 52255 62706 74650 76650 104510 108989 111975 156765 217978 223950 261275 313530 326967 522550 544945 653934 762923 783825 1089890 1525846 1567650 1634835 2288769 2724725 3269670 3814615 4577538 5449450 7629230 8174175 11443845 16348350 19073075 22887690 38146150 57219225 114438450