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127010070 = 2325112107109
BaseRepresentation
bin1111001001000…
…00010100010110
322211222210001200
413210200110112
5230003310240
620334133330
73101365515
oct744402426
9284883050
10127010070
116576a600
1236651246
132040c8b5
1412c2267c
15b23c930
hex7920516

127010070 has 144 divisors (see below), whose sum is σ = 369729360. Its totient is φ = 30222720.

The previous prime is 127010057. The next prime is 127010083. The reversal of 127010070 is 70010721.

It is an interprime number because it is at equal distance from previous prime (127010057) and next prime (127010083).

It is a super-2 number, since 2×1270100702 = 32263115762809800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 71 ways as a sum of consecutive naturals, for example, 1165176 + ... + 1165284.

It is an arithmetic number, because the mean of its divisors is an integer number (2567565).

Almost surely, 2127010070 is an apocalyptic number.

127010070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 127010070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184864680).

127010070 is an abundant number, since it is smaller than the sum of its proper divisors (242719290).

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

127010070 is a wasteful number, since it uses less digits than its factorization.

127010070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 18.

The square root of 127010070 is about 11269.8744447310. The cubic root of 127010070 is about 502.6658545119.

Adding to 127010070 its reverse (70010721), we get a palindrome (197020791).

The spelling of 127010070 in words is "one hundred twenty-seven million, ten thousand, seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 107 109 110 121 165 198 214 218 242 321 327 330 363 495 535 545 605 642 654 726 963 981 990 1070 1089 1090 1177 1199 1210 1605 1635 1815 1926 1962 2178 2354 2398 3210 3270 3531 3597 3630 4815 4905 5445 5885 5995 7062 7194 9630 9810 10593 10791 10890 11663 11770 11990 12947 13189 17655 17985 21186 21582 23326 25894 26378 34989 35310 35970 38841 39567 52965 53955 58315 64735 65945 69978 77682 79134 104967 105930 107910 116523 116630 118701 128293 129470 131890 174945 194205 197835 209934 233046 237402 256586 349890 384879 388410 395670 524835 582615 593505 641465 769758 1049670 1154637 1165230 1187010 1282930 1411223 1924395 2309274 2822446 3848790 4233669 5773185 7056115 8467338 11546370 12701007 14112230 21168345 25402014 42336690 63505035 127010070