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612412020 = 2232511437193
BaseRepresentation
bin100100100000001…
…010101001110100
31120200100202100200
4210200022221310
52223234141040
6140434040500
721114262533
oct4440125164
91520322320
10612412020
11294766240
12151119130
1399b5329c
145b49831a
1538b70630
hex2480aa74

612412020 has 144 divisors (see below), whose sum is σ = 2073943872. Its totient is φ = 144990720.

The previous prime is 612412019. The next prime is 612412043. The reversal of 612412020 is 20214216.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 612411984 and 612412002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81544 + ... + 88736.

It is an arithmetic number, because the mean of its divisors is an integer number (14402388).

Almost surely, 2612412020 is an apocalyptic number.

612412020 is a gapful number since it is divisible by the number (60) 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 612412020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036971936).

612412020 is an abundant number, since it is smaller than the sum of its proper divisors (1461531852).

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

612412020 is a wasteful number, since it uses less digits than its factorization.

612412020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7262 (or 7257 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 612412020 is about 24746.9598132781. The cubic root of 612412020 is about 849.2089618706.

Adding to 612412020 its reverse (20214216), we get a palindrome (632626236).

The spelling of 612412020 in words is "six hundred twelve million, four hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 43 44 45 55 60 66 86 90 99 110 129 132 165 172 180 198 215 220 258 330 387 396 430 473 495 516 645 660 774 860 946 990 1290 1419 1548 1892 1935 1980 2365 2580 2838 3870 4257 4730 5676 7095 7193 7740 8514 9460 14190 14386 17028 21285 21579 28380 28772 35965 42570 43158 64737 71930 79123 85140 86316 107895 129474 143860 158246 215790 237369 258948 309299 316492 323685 395615 431580 474738 618598 647370 712107 791230 927897 949476 1186845 1237196 1294740 1424214 1546495 1582460 1855794 2373690 2783691 2848428 3092990 3402289 3560535 3711588 4639485 4747380 5567382 6185980 6804578 7121070 9278970 10206867 11134764 13609156 13918455 14242140 17011445 18557940 20413734 27836910 30620601 34022890 40827468 51034335 55673820 61241202 68045780 102068670 122482404 153103005 204137340 306206010 612412020