Search a number
-
+
114974288 = 241113311621
BaseRepresentation
bin1101101101001…
…01111001010000
322000100022001222
412312211321100
5213413134123
615224144212
72564160002
oct666457120
9260308058
10114974288
1159999980
1232608068
131aa87530
14113ac372
15a1616c8
hex6da5e50

114974288 has 80 divisors (see below), whose sum is σ = 270316032. Its totient is φ = 46656000.

The previous prime is 114974287. The next prime is 114974297. The reversal of 114974288 is 882479411.

It is a super-2 number, since 2×1149742882 = 26438173802213888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114974287) 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, 70118 + ... + 71738.

Almost surely, 2114974288 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 114974288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135158016).

114974288 is an abundant number, since it is smaller than the sum of its proper divisors (155341744).

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

114974288 is a wasteful number, since it uses less digits than its factorization.

114974288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1684 (or 1678 counting only the distinct ones).

The product of its digits is 129024, while the sum is 44.

The square root of 114974288 is about 10722.6063995654. The cubic root of 114974288 is about 486.2581680835.

The spelling of 114974288 in words is "one hundred fourteen million, nine hundred seventy-four thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 31 44 52 62 88 104 124 143 176 208 248 286 341 403 496 572 682 806 1144 1364 1612 1621 2288 2728 3224 3242 4433 5456 6448 6484 8866 12968 17732 17831 21073 25936 35464 35662 42146 50251 70928 71324 84292 100502 142648 168584 201004 231803 285296 337168 402008 463606 552761 653263 804016 927212 1105522 1306526 1854424 2211044 2613052 3708848 4422088 5226104 7185893 8844176 10452208 14371786 28743572 57487144 114974288