Search a number
-
+
123896916 = 2232111341587
BaseRepresentation
bin1110110001010…
…00010001010100
322122010121121200
413120220101110
5223204200131
620143312500
73033051333
oct730502124
9278117550
10123896916
1163a33650
12355ab730
131c88c8b0
1412651d1a
15ad252e6
hex7628454

123896916 has 144 divisors (see below), whose sum is σ = 377552448. Its totient is φ = 33753600.

The previous prime is 123896897. The next prime is 123896923. The reversal of 123896916 is 619698321.

It is a happy number.

It is a super-2 number, since 2×1238969162 = 30700891588622112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210775 + ... + 211361.

It is an arithmetic number, because the mean of its divisors is an integer number (2621892).

Almost surely, 2123896916 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 123896916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188776224).

123896916 is an abundant number, since it is smaller than the sum of its proper divisors (253655532).

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

123896916 is a wasteful number, since it uses less digits than its factorization.

123896916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 657 counting only the distinct ones).

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

The square root of 123896916 is about 11130.8991550548. The cubic root of 123896916 is about 498.5248736175.

The spelling of 123896916 in words is "one hundred twenty-three million, eight hundred ninety-six thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 41 44 52 66 78 82 99 117 123 132 143 156 164 198 234 246 286 369 396 429 451 468 492 533 572 587 738 858 902 1066 1174 1287 1353 1476 1599 1716 1761 1804 2132 2348 2574 2706 3198 3522 4059 4797 5148 5283 5412 5863 6396 6457 7044 7631 8118 9594 10566 11726 12914 15262 16236 17589 19188 19371 21132 22893 23452 24067 25828 30524 35178 38742 45786 48134 52767 58113 68679 70356 72201 77484 83941 91572 96268 105534 116226 137358 144402 167882 211068 216603 232452 251823 264737 274716 288804 312871 335764 433206 503646 529474 625742 755469 794211 866412 938613 1007292 1058948 1251484 1510938 1588422 1877226 2382633 2815839 3021876 3176844 3441581 3754452 4765266 5631678 6883162 9530532 10324743 11263356 13766324 20649486 30974229 41298972 61948458 123896916