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57016320 = 2173529
BaseRepresentation
bin1101100110000…
…0000000000000
310222021201200120
43121200000000
5104044010240
65354020240
71261426224
oct331400000
9128251616
1057016320
112a203229
1217117680
13ba73b8a
147802784
155013ad0
hex3660000

57016320 has 144 divisors (see below), whose sum is σ = 188742960. Its totient is φ = 14680064.

The previous prime is 57016319. The next prime is 57016327. The reversal of 57016320 is 2361075.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57016327) 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, 1966066 + ... + 1966094.

It is an arithmetic number, because the mean of its divisors is an integer number (1310715).

Almost surely, 257016320 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 57016320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94371480).

57016320 is an abundant number, since it is smaller than the sum of its proper divisors (131726640).

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

57016320 is an frugal number, since it uses more digits than its factorization.

57016320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 57016320 is about 7550.9151763213. The cubic root of 57016320 is about 384.8868391775.

Adding to 57016320 its reverse (2361075), we get a palindrome (59377395).

It can be divided in two parts, 5701 and 6320, that added together give a palindrome (12021).

The spelling of 57016320 in words is "fifty-seven million, sixteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 128 145 160 174 192 232 240 256 290 320 348 384 435 464 480 512 580 640 696 768 870 928 960 1024 1160 1280 1392 1536 1740 1856 1920 2048 2320 2560 2784 3072 3480 3712 3840 4096 4640 5120 5568 6144 6960 7424 7680 8192 9280 10240 11136 12288 13920 14848 15360 16384 18560 20480 22272 24576 27840 29696 30720 32768 37120 40960 44544 49152 55680 59392 61440 65536 74240 81920 89088 98304 111360 118784 122880 131072 148480 163840 178176 196608 222720 237568 245760 296960 327680 356352 393216 445440 475136 491520 593920 655360 712704 890880 950272 983040 1187840 1425408 1781760 1900544 1966080 2375680 2850816 3563520 3801088 4751360 5701632 7127040 9502720 11403264 14254080 19005440 28508160 57016320