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70257000 = 23353112129
BaseRepresentation
bin1000011000000…
…00100101101000
311220012102111010
410030000211220
5120441211000
610545503520
71512113622
oct414004550
9156172433
1070257000
1136727140
121b641ba0
131172b7b8
14948bc12
15627bd50
hex4300968

70257000 has 128 divisors (see below), whose sum is σ = 239241600. Its totient is φ = 17024000.

The previous prime is 70256987. The next prime is 70257013. The reversal of 70257000 is 75207.

It is an interprime number because it is at equal distance from previous prime (70256987) and next prime (70257013).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31936 + ... + 34064.

It is an arithmetic number, because the mean of its divisors is an integer number (1869075).

Almost surely, 270257000 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 70257000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119620800).

70257000 is an abundant number, since it is smaller than the sum of its proper divisors (168984600).

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

70257000 is a wasteful number, since it uses less digits than its factorization.

70257000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2164 (or 2150 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 21.

The square root of 70257000 is about 8381.9448817085. The cubic root of 70257000 is about 412.6322808079.

The spelling of 70257000 in words is "seventy million, two hundred fifty-seven thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2129 2200 2750 3000 3300 4125 4258 5500 6387 6600 8250 8516 10645 11000 12774 16500 17032 21290 23419 25548 31935 33000 42580 46838 51096 53225 63870 70257 85160 93676 106450 117095 127740 140514 159675 187352 212900 234190 255480 266125 281028 319350 351285 425800 468380 532250 562056 585475 638700 702570 798375 936760 1064500 1170950 1277400 1405140 1596750 1756425 2129000 2341900 2810280 2927375 3193500 3512850 4683800 5854750 6387000 7025700 8782125 11709500 14051400 17564250 23419000 35128500 70257000