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114452124 = 223193116193
BaseRepresentation
bin1101101001001…
…10011010011100
321222100202210120
412310212122130
5213244431444
615205034540
72556553443
oct664463234
9258322716
10114452124
1159672636
12323b5a50
131a933967
14112b3d5a
15a0abb19
hex6d2669c

114452124 has 48 divisors (see below), whose sum is σ = 290196480. Its totient is φ = 34974720.

The previous prime is 114452099. The next prime is 114452159. The reversal of 114452124 is 421254411.

It is a super-2 number, since 2×1144521242 = 26198577376222752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114452094 and 114452103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1029 + ... + 15164.

It is an arithmetic number, because the mean of its divisors is an integer number (6045760).

Almost surely, 2114452124 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 114452124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145098240).

114452124 is an abundant number, since it is smaller than the sum of its proper divisors (175744356).

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

114452124 is a wasteful number, since it uses less digits than its factorization.

114452124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16250 (or 16248 counting only the distinct ones).

The product of its digits is 1280, while the sum is 24.

The square root of 114452124 is about 10698.2299470520. The cubic root of 114452124 is about 485.5209253907.

The spelling of 114452124 in words is "one hundred fourteen million, four hundred fifty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 19 31 38 57 62 76 93 114 124 186 228 372 589 1178 1767 2356 3534 7068 16193 32386 48579 64772 97158 194316 307667 501983 615334 923001 1003966 1230668 1505949 1846002 2007932 3011898 3692004 6023796 9537677 19075354 28613031 38150708 57226062 114452124