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114996924 = 22327367139
BaseRepresentation
bin1101101101010…
…11011010111100
322000101110010100
412312223122330
5213414400144
615224441100
72564313000
oct666533274
9260343110
10114996924
1159a04989
1232619190
131aa94923
14113b6700
15a168269
hex6dab6bc

114996924 has 144 divisors (see below), whose sum is σ = 346528000. Its totient is φ = 32133024.

The previous prime is 114996829. The next prime is 114996929. The reversal of 114996924 is 429699411.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 114996924.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114996929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 827247 + ... + 827385.

Almost surely, 2114996924 is an apocalyptic number.

114996924 is a gapful number since it is divisible by the number (14) 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 114996924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173264000).

114996924 is an abundant number, since it is smaller than the sum of its proper divisors (231531076).

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

114996924 is a wasteful number, since it uses less digits than its factorization.

With its successor (114996925) it forms an eRAP, since the sums of their prime factors are consecutive (237 and 238).

114996924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 218 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 114996924 is about 10723.6618745650. The cubic root of 114996924 is about 486.2900772980.

The spelling of 114996924 in words is "one hundred fourteen million, nine hundred ninety-six thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 67 84 98 126 134 139 147 196 201 252 268 278 294 343 402 417 441 469 556 588 603 686 804 834 882 938 973 1029 1206 1251 1372 1407 1668 1764 1876 1946 2058 2412 2502 2814 2919 3087 3283 3892 4116 4221 5004 5628 5838 6174 6566 6811 8442 8757 9313 9849 11676 12348 13132 13622 16884 17514 18626 19698 20433 22981 27244 27939 29547 35028 37252 39396 40866 45962 47677 55878 59094 61299 65191 68943 81732 83817 91924 95354 111756 118188 122598 130382 137886 143031 167634 190708 195573 206829 245196 260764 275772 286062 335268 391146 413658 429093 456337 572124 586719 782292 827316 858186 912674 1173438 1369011 1716372 1825348 2346876 2738022 3194359 4107033 5476044 6388718 8214066 9583077 12777436 16428132 19166154 28749231 38332308 57498462 114996924