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121662424 = 23132292107
BaseRepresentation
bin1110100000001…
…10101111011000
322110221002110201
413100012233120
5222121144144
620023351544
73005053642
oct720065730
9273832421
10121662424
1162747864
12348b25b4
131c289800
141222d892
15aa331d4
hex7406bd8

121662424 has 72 divisors (see below), whose sum is σ = 258216660. Its totient is φ = 53708928.

The previous prime is 121662407. The next prime is 121662503. The reversal of 121662424 is 424266121.

It is a junction number, because it is equal to n+sod(n) for n = 121662392 and 121662401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1136979 + ... + 1137085.

Almost surely, 2121662424 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 121662424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129108330).

121662424 is an abundant number, since it is smaller than the sum of its proper divisors (136554236).

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

121662424 is a wasteful number, since it uses less digits than its factorization.

121662424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 151 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

The square root of 121662424 is about 11030.0690840992. The cubic root of 121662424 is about 495.5096936815.

The spelling of 121662424 in words is "one hundred twenty-one million, six hundred sixty-two thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 26 29 52 58 104 107 116 169 214 232 338 377 428 676 754 841 856 1352 1391 1508 1682 2782 3016 3103 3364 4901 5564 6206 6728 9802 10933 11128 12412 18083 19604 21866 24824 36166 39208 40339 43732 72332 80678 87464 89987 142129 144664 161356 179974 284258 322712 359948 524407 568516 719896 1048814 1137032 1169831 2097628 2339662 4195256 4679324 9358648 15207803 30415606 60831212 121662424