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516672120 = 233529148469
BaseRepresentation
bin11110110010111…
…100101001111000
31100000012122220110
4132302330221320
52024232001440
6123134024320
715542432466
oct3662745170
91300178813
10516672120
11245714458
121250480a0
1383071863
144c895836
153055d080
hex1ecbca78

516672120 has 64 divisors (see below), whose sum is σ = 1603476000. Its totient is φ = 133027328.

The previous prime is 516672103. The next prime is 516672127. The reversal of 516672120 is 21276615.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516672127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70755 + ... + 77714.

Almost surely, 2516672120 is an apocalyptic number.

It is an amenable number.

516672120 is an abundant number, since it is smaller than the sum of its proper divisors (1086803880).

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

516672120 is a wasteful number, since it uses less digits than its factorization.

516672120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148512 (or 148508 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 516672120 is about 22730.4227853333. The cubic root of 516672120 is about 802.4260313613.

The spelling of 516672120 in words is "five hundred sixteen million, six hundred seventy-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480 148469 296938 445407 593876 742345 890814 1187752 1484690 1781628 2227035 2969380 3563256 4305601 4454070 5938760 8611202 8908140 12916803 17222404 17816280 21528005 25833606 34444808 43056010 51667212 64584015 86112020 103334424 129168030 172224040 258336060 516672120