Search a number
-
+
121470408 = 23333715199
BaseRepresentation
bin1110011110101…
…11110111001000
322110120100002000
413033113313020
5222044023113
620015311000
73003324063
oct717276710
9273510060
10121470408
1162626574
123481b460
131c2202a7
14121bd8da
15a9e6373
hex73d7dc8

121470408 has 64 divisors (see below), whose sum is σ = 346560000. Its totient is φ = 39393216.

The previous prime is 121470403. The next prime is 121470409. The reversal of 121470408 is 804074121.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (121470403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 393 + ... + 15591.

It is an arithmetic number, because the mean of its divisors is an integer number (5415000).

Almost surely, 2121470408 is an apocalyptic number.

121470408 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 121470408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173280000).

121470408 is an abundant number, since it is smaller than the sum of its proper divisors (225089592).

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

121470408 is a wasteful number, since it uses less digits than its factorization.

121470408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15251 (or 15241 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 121470408 is about 11021.3614404029. The cubic root of 121470408 is about 495.2488739330.

The spelling of 121470408 in words is "one hundred twenty-one million, four hundred seventy thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 108 111 148 216 222 296 333 444 666 888 999 1332 1998 2664 3996 7992 15199 30398 45597 60796 91194 121592 136791 182388 273582 364776 410373 547164 562363 820746 1094328 1124726 1641492 1687089 2249452 3282984 3374178 4498904 5061267 6748356 10122534 13496712 15183801 20245068 30367602 40490136 60735204 121470408