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120464500 = 22531343431
BaseRepresentation
bin1110010111000…
…10010001110100
322101200020020011
413023202101310
5221314331000
615541550004
72661634312
oct713422164
9271606204
10120464500
1161aa9842
1234415304
131bc5a490
1411ddb0b2
15a8982ba
hex72e2474

120464500 has 96 divisors (see below), whose sum is σ = 290594304. Its totient is φ = 43344000.

The previous prime is 120464483. The next prime is 120464507. The reversal of 120464500 is 5464021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120464507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 279285 + ... + 279715.

It is an arithmetic number, because the mean of its divisors is an integer number (3027024).

Almost surely, 2120464500 is an apocalyptic number.

120464500 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 120464500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145297152).

120464500 is an abundant number, since it is smaller than the sum of its proper divisors (170129804).

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

120464500 is a wasteful number, since it uses less digits than its factorization.

120464500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 120464500 is about 10975.6321002483. The cubic root of 120464500 is about 493.8780151961.

The spelling of 120464500 in words is "one hundred twenty million, four hundred sixty-four thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 43 50 52 65 86 100 125 130 172 215 250 260 325 430 431 500 559 650 860 862 1075 1118 1300 1625 1724 2150 2155 2236 2795 3250 4300 4310 5375 5590 5603 6500 8620 10750 10775 11180 11206 13975 18533 21500 21550 22412 27950 28015 37066 43100 53875 55900 56030 69875 74132 92665 107750 112060 139750 140075 185330 215500 240929 279500 280150 370660 463325 481858 560300 700375 926650 963716 1204645 1400750 1853300 2316625 2409290 2801500 4633250 4818580 6023225 9266500 12046450 24092900 30116125 60232250 120464500