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480189120 = 2635500197
BaseRepresentation
bin11100100111110…
…001101011000000
31020110120010122020
4130213301223000
51440412022440
6115352041440
714620353165
oct3447615300
91213503566
10480189120
11227066214
12114993280
1378639a98
1447aba06c
152c2533d0
hex1c9f1ac0

480189120 has 56 divisors (see below), whose sum is σ = 1524603504. Its totient is φ = 128050176.

The previous prime is 480189119. The next prime is 480189121. The reversal of 480189120 is 21981084.

It is an interprime number because it is at equal distance from previous prime (480189119) and next prime (480189121).

It is not an unprimeable number, because it can be changed into a prime (480189121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 249139 + ... + 251058.

Almost surely, 2480189120 is an apocalyptic number.

480189120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480189120 is an abundant number, since it is smaller than the sum of its proper divisors (1044414384).

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

480189120 is a wasteful number, since it uses less digits than its factorization.

480189120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500217 (or 500207 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 480189120 is about 21913.2179289122. The cubic root of 480189120 is about 783.0763452550.

The spelling of 480189120 in words is "four hundred eighty million, one hundred eighty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 500197 1000394 1500591 2000788 2500985 3001182 4001576 5001970 6002364 7502955 8003152 10003940 12004728 15005910 16006304 20007880 24009456 30011820 32012608 40015760 48018912 60023640 80031520 96037824 120047280 160063040 240094560 480189120