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114930432 = 283283601
BaseRepresentation
bin1101101100110…
…11001100000000
322000021001220200
412312123030000
5213410233212
615223205200
72563615101
oct666331400
9260231820
10114930432
1159969a31
12325a6800
131aa70596
141139a3a8
15a1536dc
hex6d9b300

114930432 has 108 divisors (see below), whose sum is σ = 335923224. Its totient is φ = 37785600.

The previous prime is 114930427. The next prime is 114930433. The reversal of 114930432 is 234039411.

It is a junction number, because it is equal to n+sod(n) for n = 114930396 and 114930405.

It is not an unprimeable number, because it can be changed into a prime (114930433) 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, 190932 + ... + 191532.

Almost surely, 2114930432 is an apocalyptic number.

114930432 is a gapful number since it is divisible by the number (12) 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 114930432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167961612).

114930432 is an abundant number, since it is smaller than the sum of its proper divisors (220992792).

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

114930432 is an equidigital number, since it uses as much as digits as its factorization.

114930432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 114930432 is about 10720.5611793413. The cubic root of 114930432 is about 486.1963338230.

Adding to 114930432 its reverse (234039411), we get a palindrome (348969843).

The spelling of 114930432 in words is "one hundred fourteen million, nine hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 83 96 128 144 166 192 249 256 288 332 384 498 576 601 664 747 768 996 1152 1202 1328 1494 1803 1992 2304 2404 2656 2988 3606 3984 4808 5312 5409 5976 7212 7968 9616 10624 10818 11952 14424 15936 19232 21248 21636 23904 28848 31872 38464 43272 47808 49883 57696 63744 76928 86544 95616 99766 115392 149649 153856 173088 191232 199532 230784 299298 346176 399064 448947 461568 598596 692352 798128 897894 1197192 1384704 1596256 1795788 2394384 3192512 3591576 4788768 6385024 7183152 9577536 12770048 14366304 19155072 28732608 38310144 57465216 114930432