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120484368 = 24331312129
BaseRepresentation
bin1110010111001…
…11001000010000
322101201020111000
413023213020100
5221320444433
615542222000
72662046244
oct713471020
9271636430
10120484368
1162012764
1234424900
131bc66534
1412004424
15a89e113
hex72e7210

120484368 has 80 divisors (see below), whose sum is σ = 348638400. Its totient is φ = 39836160.

The previous prime is 120484367. The next prime is 120484369. The reversal of 120484368 is 863484021.

It is an interprime number because it is at equal distance from previous prime (120484367) and next prime (120484369).

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 (120484367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55528 + ... + 57656.

It is an arithmetic number, because the mean of its divisors is an integer number (4357980).

Almost surely, 2120484368 is an apocalyptic number.

120484368 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 120484368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174319200).

120484368 is an abundant number, since it is smaller than the sum of its proper divisors (228154032).

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

120484368 is a wasteful number, since it uses less digits than its factorization.

120484368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2277 (or 2265 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 120484368 is about 10976.5371588675. The cubic root of 120484368 is about 493.9051651837.

The spelling of 120484368 in words is "one hundred twenty million, four hundred eighty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 131 144 216 262 393 432 524 786 1048 1179 1572 2096 2129 2358 3144 3537 4258 4716 6288 6387 7074 8516 9432 12774 14148 17032 18864 19161 25548 28296 34064 38322 51096 56592 57483 76644 102192 114966 153288 229932 278899 306576 459864 557798 836697 919728 1115596 1673394 2231192 2510091 3346788 4462384 5020182 6693576 7530273 10040364 13387152 15060546 20080728 30121092 40161456 60242184 120484368