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70006300 = 22527313157
BaseRepresentation
bin1000010110000…
…11011000011100
311212201200120221
410023003120130
5120410200200
610540251124
71510021000
oct413033034
9155650527
1070006300
1136575851
121b540aa4
1311671660
149424700
15622c91a
hex42c361c

70006300 has 144 divisors (see below), whose sum is σ = 192001600. Its totient is φ = 22014720.

The previous prime is 70006271. The next prime is 70006303. The reversal of 70006300 is 360007.

It is a happy number.

70006300 is a modest number, since divided by 6300 gives 700 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70006303) by changing a digit.

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, 445822 + ... + 445978.

Almost surely, 270006300 is an apocalyptic number.

70006300 is a gapful number since it is divisible by the number (70) 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 70006300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96000800).

70006300 is an abundant number, since it is smaller than the sum of its proper divisors (121995300).

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

70006300 is a wasteful number, since it uses less digits than its factorization.

70006300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 16.

The square root of 70006300 is about 8366.9767538819. The cubic root of 70006300 is about 412.1408934659.

Adding to 70006300 its reverse (360007), we get a palindrome (70366307).

The spelling of 70006300 in words is "seventy million, six thousand, three hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 49 50 52 65 70 91 98 100 130 140 157 175 182 196 245 260 314 325 343 350 364 455 490 628 637 650 686 700 785 910 980 1099 1225 1274 1300 1372 1570 1715 1820 2041 2198 2275 2450 2548 3140 3185 3430 3925 4082 4396 4459 4550 4900 5495 6370 6860 7693 7850 8164 8575 8918 9100 10205 10990 12740 14287 15386 15700 15925 17150 17836 20410 21980 22295 27475 28574 30772 31850 34300 38465 40820 44590 51025 53851 54950 57148 63700 71435 76930 89180 100009 102050 107702 109900 111475 142870 153860 192325 200018 204100 215404 222950 269255 285740 357175 384650 400036 445900 500045 538510 700063 714350 769300 1000090 1077020 1346275 1400126 1428700 2000180 2500225 2692550 2800252 3500315 5000450 5385100 7000630 10000900 14001260 17501575 35003150 70006300