Search a number
-
+
121842648 = 23323179691
BaseRepresentation
bin1110100001100…
…10101111011000
322111021020200200
413100302233120
5222142431043
620031302200
73006434244
oct720625730
9274236620
10121842648
1162860204
123497a960
131c320855
1412279424
15aa6b7d3
hex7432bd8

121842648 has 96 divisors (see below), whose sum is σ = 345446400. Its totient is φ = 38750400.

The previous prime is 121842631. The next prime is 121842653. The reversal of 121842648 is 846248121.

121842648 is a `hidden beast` number, since 1 + 2 + 1 + 8 + 4 + 2 + 648 = 666.

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 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, 175983 + ... + 176673.

It is an arithmetic number, because the mean of its divisors is an integer number (3598400).

Almost surely, 2121842648 is an apocalyptic number.

121842648 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 121842648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172723200).

121842648 is an abundant number, since it is smaller than the sum of its proper divisors (223603752).

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

121842648 is a wasteful number, since it uses less digits than its factorization.

121842648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 806 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 121842648 is about 11038.2357285936. The cubic root of 121842648 is about 495.7542465360.

The spelling of 121842648 in words is "one hundred twenty-one million, eight hundred forty-two thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 79 93 124 158 186 237 248 279 316 372 474 558 632 691 711 744 948 1116 1382 1422 1896 2073 2232 2449 2764 2844 4146 4898 5528 5688 6219 7347 8292 9796 12438 14694 16584 19592 21421 22041 24876 29388 42842 44082 49752 54589 58776 64263 85684 88164 109178 128526 163767 171368 176328 192789 218356 257052 327534 385578 436712 491301 514104 655068 771156 982602 1310136 1542312 1692259 1965204 3384518 3930408 5076777 6769036 10153554 13538072 15230331 20307108 30460662 40614216 60921324 121842648