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121931424 = 2532677189
BaseRepresentation
bin1110100010010…
…00011010100000
322111102202110200
413101020122200
5222203301144
620033225200
73010254126
oct721103240
9274382420
10121931424
116291097a
1234a02200
131c352094
141229d916
15aa87c69
hex74486a0

121931424 has 144 divisors (see below), whose sum is σ = 360884160. Its totient is φ = 39029760.

The previous prime is 121931419. The next prime is 121931437. The reversal of 121931424 is 424139121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1369972 + ... + 1370060.

It is an arithmetic number, because the mean of its divisors is an integer number (2506140).

Almost surely, 2121931424 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 121931424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180442080).

121931424 is an abundant number, since it is smaller than the sum of its proper divisors (238952736).

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

121931424 is a wasteful number, since it uses less digits than its factorization.

121931424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 232 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 121931424 is about 11042.2562911753. The cubic root of 121931424 is about 495.8746214487.

The spelling of 121931424 in words is "one hundred twenty-one million, nine hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 67 71 72 89 96 134 142 144 178 201 213 267 268 284 288 356 402 426 534 536 568 603 639 712 801 804 852 1068 1072 1136 1206 1278 1424 1602 1608 1704 2136 2144 2272 2412 2556 2848 3204 3216 3408 4272 4757 4824 5112 5963 6319 6408 6432 6816 8544 9514 9648 10224 11926 12638 12816 14271 17889 18957 19028 19296 20448 23852 25276 25632 28542 35778 37914 38056 42813 47704 50552 53667 56871 57084 71556 75828 76112 85626 95408 101104 107334 113742 114168 143112 151656 152224 171252 190816 202208 214668 227484 228336 286224 303312 342504 423373 429336 454968 456672 572448 606624 685008 846746 858672 909936 1270119 1370016 1693492 1717344 1819872 2540238 3386984 3810357 5080476 6773968 7620714 10160952 13547936 15241428 20321904 30482856 40643808 60965712 121931424