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546630040 = 2351141157193
BaseRepresentation
bin100000100101001…
…110100110011000
31102002120200110001
4200211032212120
52104414130130
6130124102344
716355164405
oct4045164630
91362520401
10546630040
11260616270
121330949b4
1389330638
14528532ac
1532ec96ca
hex2094e998

546630040 has 128 divisors (see below), whose sum is σ = 1390374720. Its totient is φ = 191692800.

The previous prime is 546630023. The next prime is 546630041. The reversal of 546630040 is 40036645.

It is a junction number, because it is equal to n+sod(n) for n = 546629990 and 546630008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (546630041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2832184 + ... + 2832376.

Almost surely, 2546630040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 546630040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695187360).

546630040 is an abundant number, since it is smaller than the sum of its proper divisors (843744680).

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

546630040 is a wasteful number, since it uses less digits than its factorization.

546630040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 546630040 is about 23380.1206155999. The cubic root of 546630040 is about 817.6444594410.

Adding to 546630040 its reverse (40036645), we get a palindrome (586666685).

The spelling of 546630040 in words is "five hundred forty-six million, six hundred thirty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 41 44 55 82 88 110 157 164 193 205 220 314 328 386 410 440 451 628 772 785 820 902 965 1256 1544 1570 1640 1727 1804 1930 2123 2255 3140 3454 3608 3860 4246 4510 6280 6437 6908 7720 7913 8492 8635 9020 10615 12874 13816 15826 16984 17270 18040 21230 25748 30301 31652 32185 34540 39565 42460 51496 60602 63304 64370 69080 70807 79130 84920 87043 121204 128740 141614 151505 158260 174086 242408 257480 283228 303010 316520 333311 348172 354035 435215 566456 606020 666622 696344 708070 870430 1212040 1242341 1333244 1416140 1666555 1740860 2484682 2666488 2832280 3333110 3481720 4969364 6211705 6666220 9938728 12423410 13332440 13665751 24846820 27331502 49693640 54663004 68328755 109326008 136657510 273315020 546630040