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121573680 = 2435617821
BaseRepresentation
bin1110011111100…
…01000100110000
322110202120201220
413033301010300
5222110324210
620021425040
73004234134
oct717610460
9273676656
10121573680
1162697118
123486b180
131c2582b7
14122093c4
15aa16c70
hex73f1130

121573680 has 80 divisors (see below), whose sum is σ = 377949024. Its totient is φ = 32327680.

The previous prime is 121573667. The next prime is 121573691. The reversal of 121573680 is 86375121.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 147670 + ... + 148490.

Almost surely, 2121573680 is an apocalyptic number.

121573680 is a gapful number since it is divisible by the number (10) 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 121573680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188974512).

121573680 is an abundant number, since it is smaller than the sum of its proper divisors (256375344).

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

121573680 is a wasteful number, since it uses less digits than its factorization.

121573680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454 (or 1448 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 121573680 is about 11026.0455286562. The cubic root of 121573680 is about 495.3891847986.

The spelling of 121573680 in words is "one hundred twenty-one million, five hundred seventy-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 617 821 1234 1642 1851 2463 2468 3085 3284 3702 4105 4926 4936 6170 6568 7404 8210 9255 9852 9872 12315 12340 13136 14808 16420 18510 19704 24630 24680 29616 32840 37020 39408 49260 49360 65680 74040 98520 148080 197040 506557 1013114 1519671 2026228 2532785 3039342 4052456 5065570 6078684 7598355 8104912 10131140 12157368 15196710 20262280 24314736 30393420 40524560 60786840 121573680