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114899328 = 2732175867
BaseRepresentation
bin1101101100100…
…11100110000000
322000012111020200
412312103212000
5213403234303
615222405200
72563425315
oct666234600
9260174220
10114899328
1159948625
1232590800
131aa5c38b
141138cd0c
15a1493a3
hex6d93980

114899328 has 96 divisors (see below), whose sum is σ = 350143560. Its totient is φ = 36040704.

The previous prime is 114899321. The next prime is 114899333. The reversal of 114899328 is 823998411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114899321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16651 + ... + 22517.

Almost surely, 2114899328 is an apocalyptic number.

114899328 is a gapful number since it is divisible by the number (18) 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 114899328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175071780).

114899328 is an abundant number, since it is smaller than the sum of its proper divisors (235244232).

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

114899328 is a wasteful number, since it uses less digits than its factorization.

114899328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5904 (or 5889 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 114899328 is about 10719.1104108503. The cubic root of 114899328 is about 486.1524695625.

The spelling of 114899328 in words is "one hundred fourteen million, eight hundred ninety-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 272 288 306 384 408 544 576 612 816 1088 1152 1224 1632 2176 2448 3264 4896 5867 6528 9792 11734 17601 19584 23468 35202 46936 52803 70404 93872 99739 105606 140808 187744 199478 211212 281616 299217 375488 398956 422424 563232 598434 750976 797912 844848 897651 1126464 1196868 1595824 1689696 1795302 2252928 2393736 3191648 3379392 3590604 4787472 6383296 6758784 7181208 9574944 12766592 14362416 19149888 28724832 38299776 57449664 114899328