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120472848 = 24323472411
BaseRepresentation
bin1110010111001…
…00010100010000
322101200122200100
413023210110100
5221320112343
615542052400
72662000536
oct713442420
9271618610
10120472848
1162005041
123441a100
131bc61212
1412000156
15a89a9d3
hex72e4510

120472848 has 60 divisors (see below), whose sum is σ = 338268528. Its totient is φ = 40025280.

The previous prime is 120472843. The next prime is 120472853. The reversal of 120472848 is 848274021.

It is an interprime number because it is at equal distance from previous prime (120472843) and next prime (120472853).

It is a super-2 number, since 2×1204728482 = 29027414210462208, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (120472841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48763 + ... + 51173.

Almost surely, 2120472848 is an apocalyptic number.

120472848 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 120472848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169134264).

120472848 is an abundant number, since it is smaller than the sum of its proper divisors (217795680).

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

120472848 is a wasteful number, since it uses less digits than its factorization.

120472848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2772 (or 2763 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 120472848 is about 10976.0123906636. The cubic root of 120472848 is about 493.8894232553.

The spelling of 120472848 in words is "one hundred twenty million, four hundred seventy-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 347 694 1041 1388 2082 2411 2776 3123 4164 4822 5552 6246 7233 8328 9644 12492 14466 16656 19288 21699 24984 28932 38576 43398 49968 57864 86796 115728 173592 347184 836617 1673234 2509851 3346468 5019702 6692936 7529553 10039404 13385872 15059106 20078808 30118212 40157616 60236424 120472848