Search a number
-
+
121815680 = 275727191
BaseRepresentation
bin1110100001011…
…00001010000000
322111012212200212
413100230022000
5222141100210
620030533252
73006262520
oct720541200
9274185625
10121815680
1162841a18
1234967228
131c3114ac
141226d680
15aa63805
hex742c280

121815680 has 64 divisors (see below), whose sum is σ = 332830080. Its totient is φ = 41763840.

The previous prime is 121815679. The next prime is 121815703. The reversal of 121815680 is 86518121.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9116 + ... + 18075.

It is an arithmetic number, because the mean of its divisors is an integer number (5200470).

Almost surely, 2121815680 is an apocalyptic number.

121815680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121815680 is an abundant number, since it is smaller than the sum of its proper divisors (211014400).

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

121815680 is an equidigital number, since it uses as much as digits as its factorization.

121815680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27217 (or 27205 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 32.

The square root of 121815680 is about 11037.0140889645. The cubic root of 121815680 is about 495.7176679728.

The spelling of 121815680 in words is "one hundred twenty-one million, eight hundred fifteen thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 27191 54382 108764 135955 190337 217528 271910 380674 435056 543820 761348 870112 951685 1087640 1522696 1740224 1903370 2175280 3045392 3480448 3806740 4350560 6090784 7613480 8701120 12181568 15226960 17402240 24363136 30453920 60907840 121815680