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121469328 = 2433317887
BaseRepresentation
bin1110011110101…
…11100110010000
322110120021121000
413033113212100
5222044004303
620015302000
73003320661
oct717274620
9273507530
10121469328
1162625782
123481a900
131c21c956
14121bd368
15a9e5da3
hex73d7990

121469328 has 80 divisors (see below), whose sum is σ = 350156160. Its totient is φ = 40316544.

The previous prime is 121469321. The next prime is 121469329. The reversal of 121469328 is 823964121.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 121469292 and 121469301.

It is not an unprimeable number, because it can be changed into a prime (121469321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136501 + ... + 137387.

It is an arithmetic number, because the mean of its divisors is an integer number (4376952).

Almost surely, 2121469328 is an apocalyptic number.

121469328 is a gapful number since it is divisible by the number (18) 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 121469328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175078080).

121469328 is an abundant number, since it is smaller than the sum of its proper divisors (228686832).

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

121469328 is a wasteful number, since it uses less digits than its factorization.

121469328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1209 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 121469328 is about 11021.3124445322. The cubic root of 121469328 is about 495.2474061671.

The spelling of 121469328 in words is "one hundred twenty-one million, four hundred sixty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 317 432 634 887 951 1268 1774 1902 2536 2661 2853 3548 3804 5072 5322 5706 7096 7608 7983 8559 10644 11412 14192 15216 15966 17118 21288 22824 23949 31932 34236 42576 45648 47898 63864 68472 95796 127728 136944 191592 281179 383184 562358 843537 1124716 1687074 2249432 2530611 3374148 4498864 5061222 6748296 7591833 10122444 13496592 15183666 20244888 30367332 40489776 60734664 121469328