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30516640 = 2557112477
BaseRepresentation
bin111010001101…
…0010110100000
32010102101221221
41310122112200
530303013030
63010024424
7520246540
oct164322640
963371857
1030516640
1116253670
12a278114
1364261ab
1440a5320
152a2be7a
hex1d1a5a0

30516640 has 96 divisors (see below), whose sum is σ = 89921664. Its totient is φ = 9507840.

The previous prime is 30516637. The next prime is 30516659. The reversal of 30516640 is 4661503.

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 15 ways as a sum of consecutive naturals, for example, 11082 + ... + 13558.

It is an arithmetic number, because the mean of its divisors is an integer number (936684).

Almost surely, 230516640 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 30516640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44960832).

30516640 is an abundant number, since it is smaller than the sum of its proper divisors (59405024).

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

30516640 is a wasteful number, since it uses less digits than its factorization.

30516640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2510 (or 2502 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 30516640 is about 5524.1868179851. The cubic root of 30516640 is about 312.4967978339.

The spelling of 30516640 in words is "thirty million, five hundred sixteen thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 70 77 80 88 110 112 140 154 160 176 220 224 280 308 352 385 440 560 616 770 880 1120 1232 1540 1760 2464 2477 3080 4954 6160 9908 12320 12385 17339 19816 24770 27247 34678 39632 49540 54494 69356 79264 86695 99080 108988 136235 138712 173390 190729 198160 217976 272470 277424 346780 381458 396320 435952 544940 554848 693560 762916 871904 953645 1089880 1387120 1525832 1907290 2179760 2774240 3051664 3814580 4359520 6103328 7629160 15258320 30516640