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70630800 = 2435271829
BaseRepresentation
bin1000011010110…
…11110110010000
311220220102020120
410031123312100
5121040141200
611001510240
71515231462
oct415336620
9156812216
1070630800
1136961a69
121b7a2380
131182c996
149548132
1563029a0
hex435bd90

70630800 has 120 divisors (see below), whose sum is σ = 229717440. Its totient is φ = 18547200.

The previous prime is 70630793. The next prime is 70630829. The reversal of 70630800 is 803607.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84786 + ... + 85614.

It is an arithmetic number, because the mean of its divisors is an integer number (1914312).

Almost surely, 270630800 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 70630800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114858720).

70630800 is an abundant number, since it is smaller than the sum of its proper divisors (159086640).

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

70630800 is a wasteful number, since it uses less digits than its factorization.

70630800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 70630800 is about 8404.2132290893. The cubic root of 70630800 is about 413.3627855068.

The spelling of 70630800 in words is "seventy million, six hundred thirty thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 71 75 80 100 120 142 150 200 213 240 284 300 355 400 426 568 600 710 829 852 1065 1136 1200 1420 1658 1704 1775 2130 2487 2840 3316 3408 3550 4145 4260 4974 5325 5680 6632 7100 8290 8520 9948 10650 12435 13264 14200 16580 17040 19896 20725 21300 24870 28400 33160 39792 41450 42600 49740 58859 62175 66320 82900 85200 99480 117718 124350 165800 176577 198960 235436 248700 294295 331600 353154 470872 497400 588590 706308 882885 941744 994800 1177180 1412616 1471475 1765770 2354360 2825232 2942950 3531540 4414425 4708720 5885900 7063080 8828850 11771800 14126160 17657700 23543600 35315400 70630800