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114853128 = 233131372687
BaseRepresentation
bin1101101100010…
…00010100001000
322000010010212120
412312020110020
5213400300003
615221411240
72563143525
oct666102410
9260103776
10114853128
1159916945
1232569b20
131aa44340
141137a14c
15a13a853
hex6d88508

114853128 has 64 divisors (see below), whose sum is σ = 311592960. Its totient is φ = 35068416.

The previous prime is 114853127. The next prime is 114853187. The reversal of 114853128 is 821358411.

It is a super-2 number, since 2×1148531282 = 26382482022768768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114853121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41401 + ... + 44087.

It is an arithmetic number, because the mean of its divisors is an integer number (4868640).

Almost surely, 2114853128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114853128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155796480).

114853128 is an abundant number, since it is smaller than the sum of its proper divisors (196739832).

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

114853128 is a wasteful number, since it uses less digits than its factorization.

114853128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2846 (or 2842 counting only the distinct ones).

The product of its digits is 7680, while the sum is 33.

The square root of 114853128 is about 10716.9551645978. The cubic root of 114853128 is about 486.0873016295.

The spelling of 114853128 in words is "one hundred fourteen million, eight hundred fifty-three thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 137 156 274 312 411 548 822 1096 1644 1781 2687 3288 3562 5343 5374 7124 8061 10686 10748 14248 16122 21372 21496 32244 34931 42744 64488 69862 104793 139724 209586 279448 368119 419172 736238 838344 1104357 1472476 2208714 2944952 4417428 4785547 8834856 9571094 14356641 19142188 28713282 38284376 57426564 114853128