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70191630 = 23352389127
BaseRepresentation
bin1000010111100…
…00101000001110
311220002002211000
410023300220032
5120432113010
610544241130
71511422215
oct413605016
9156062730
1070191630
1136692013
121b6101a6
1311707b12
14947207c
1562677c0
hex42f0a0e

70191630 has 128 divisors (see below), whose sum is σ = 199065600. Its totient is φ = 17563392.

The previous prime is 70191613. The next prime is 70191661. The reversal of 70191630 is 3619107.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 70191594 and 70191603.

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 63 ways as a sum of consecutive naturals, for example, 552627 + ... + 552753.

It is an arithmetic number, because the mean of its divisors is an integer number (1555200).

Almost surely, 270191630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70191630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99532800).

70191630 is an abundant number, since it is smaller than the sum of its proper divisors (128873970).

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

70191630 is a wasteful number, since it uses less digits than its factorization.

70191630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 70191630 is about 8378.0445212472. The cubic root of 70191630 is about 412.5042644187.

It can be divided in two parts, 7019 and 1630, that added together give a square (8649 = 932).

The spelling of 70191630 in words is "seventy million, one hundred ninety-one thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 89 90 115 127 135 138 178 207 230 254 267 270 345 381 414 445 534 621 635 690 762 801 890 1035 1143 1242 1270 1335 1602 1905 2047 2070 2286 2403 2670 2921 3105 3429 3810 4005 4094 4806 5715 5842 6141 6210 6858 8010 8763 10235 11303 11430 12015 12282 14605 17145 17526 18423 20470 22606 24030 26289 29210 30705 33909 34290 36846 43815 52578 55269 56515 61410 67818 78867 87630 92115 101727 110538 113030 131445 157734 169545 184230 203454 259969 262890 276345 305181 339090 394335 508635 519938 552690 610362 779907 788670 1017270 1299845 1525905 1559814 2339721 2599690 3051810 3899535 4679442 7019163 7799070 11698605 14038326 23397210 35095815 70191630