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114990336 = 2832291721
BaseRepresentation
bin1101101101010…
…01110100000000
322000101010002100
412312221310000
5213414142321
615224350400
72564254536
oct666516400
9260333070
10114990336
11599aaa3a
1232615400
131aa91926
14113b4156
15a166326
hex6da9d00

114990336 has 108 divisors (see below), whose sum is σ = 343177380. Its totient is φ = 36986880.

The previous prime is 114990319. The next prime is 114990347. The reversal of 114990336 is 633099411.

It can be written as a sum of positive squares in 2 ways, for example, as 72999936 + 41990400 = 8544^2 + 6480^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 114990336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65956 + ... + 67676.

Almost surely, 2114990336 is an apocalyptic number.

114990336 is a gapful number since it is divisible by the number (16) 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 114990336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171588690).

114990336 is an abundant number, since it is smaller than the sum of its proper divisors (228187044).

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

114990336 is a wasteful number, since it uses less digits than its factorization.

114990336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1772 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 114990336 is about 10723.3546989736. The cubic root of 114990336 is about 486.2807908461.

The spelling of 114990336 in words is "one hundred fourteen million, nine hundred ninety thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 256 261 288 348 384 464 522 576 696 768 928 1044 1152 1392 1721 1856 2088 2304 2784 3442 3712 4176 5163 5568 6884 7424 8352 10326 11136 13768 15489 16704 20652 22272 27536 30978 33408 41304 49909 55072 61956 66816 82608 99818 110144 123912 149727 165216 199636 220288 247824 299454 330432 399272 440576 449181 495648 598908 660864 798544 898362 991296 1197816 1321728 1597088 1796724 1982592 2395632 3194176 3593448 3965184 4791264 6388352 7186896 9582528 12776704 14373792 19165056 28747584 38330112 57495168 114990336