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121714632 = 2332131091193
BaseRepresentation
bin1110100000100…
…11011111001000
322111000202002100
413100103133020
5222124332012
620024433400
73005362104
oct720233710
9274022070
10121714632
1162783006
1234918860
131c2a74c0
1412244904
15aa438dc
hex74137c8

121714632 has 96 divisors (see below), whose sum is σ = 358558200. Its totient is φ = 37075968.

The previous prime is 121714601. The next prime is 121714657. The reversal of 121714632 is 236417121.

121714632 is a `hidden beast` number, since 1 + 2 + 17 + 14 + 632 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 95765796 + 25948836 = 9786^2 + 5094^2 .

It is a junction number, because it is equal to n+sod(n) for n = 121714596 and 121714605.

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 23 ways as a sum of consecutive naturals, for example, 101428 + ... + 102620.

Almost surely, 2121714632 is an apocalyptic number.

121714632 is a gapful number since it is divisible by the number (12) 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 121714632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179279100).

121714632 is an abundant number, since it is smaller than the sum of its proper divisors (236843568).

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

121714632 is a wasteful number, since it uses less digits than its factorization.

121714632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1320 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 121714632 is about 11032.4354518846. The cubic root of 121714632 is about 495.5805615516.

The spelling of 121714632 in words is "one hundred twenty-one million, seven hundred fourteen thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 109 117 156 218 234 312 327 436 468 654 872 936 981 1193 1308 1417 1962 2386 2616 2834 3579 3924 4251 4772 5668 7158 7848 8502 9544 10737 11336 12753 14316 15509 17004 21474 25506 28632 31018 34008 42948 46527 51012 62036 85896 93054 102024 124072 130037 139581 186108 260074 279162 372216 390111 520148 558324 780222 1040296 1116648 1170333 1560444 1690481 2340666 3120888 3380962 4681332 5071443 6761924 9362664 10142886 13523848 15214329 20285772 30428658 40571544 60857316 121714632