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120852480 = 212357281
BaseRepresentation
bin1110011010000…
…01000000000000
322102101221102210
413031001000000
5221414234410
615554142120
72665141410
oct715010000
9272357383
10120852480
1162244291
1234581940
131c064c58
141209c640
15a923220
hex7341000

120852480 has 208 divisors, whose sum is σ = 443493504. Its totient is φ = 27525120.

The previous prime is 120852469. The next prime is 120852481. The reversal of 120852480 is 84258021.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (120852481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 429940 + ... + 430220.

Almost surely, 2120852480 is an apocalyptic number.

120852480 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 120852480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221746752).

120852480 is an abundant number, since it is smaller than the sum of its proper divisors (322641024).

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

120852480 is an equidigital number, since it uses as much as digits as its factorization.

120852480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 120852480 is about 10993.2925004295. The cubic root of 120852480 is about 494.4076579495.

The spelling of 120852480 in words is "one hundred twenty million, eight hundred fifty-two thousand, four hundred eighty".