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395007690 = 235711307557
BaseRepresentation
bin10111100010110…
…101011011001010
31000112021110200110
4113202311123022
51302110221230
6103110215150
712534336630
oct2742653312
91015243613
10395007690
11192a76140
12b03544b6
1363ab417c
143a665350
1524a294b0
hex178b56ca

395007690 has 128 divisors (see below), whose sum is σ = 1187923968. Its totient is φ = 81665280.

The previous prime is 395007661. The next prime is 395007709. The reversal of 395007690 is 96700593.

It is a super-2 number, since 2×3950076902 = 312062150318272200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 708892 + ... + 709448.

It is an arithmetic number, because the mean of its divisors is an integer number (9280656).

Almost surely, 2395007690 is an apocalyptic number.

395007690 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 395007690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593961984).

395007690 is an abundant number, since it is smaller than the sum of its proper divisors (792916278).

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

395007690 is a wasteful number, since it uses less digits than its factorization.

395007690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892.

The product of its (nonzero) digits is 51030, while the sum is 39.

The square root of 395007690 is about 19874.8003763560. The cubic root of 395007690 is about 733.7281535557.

The spelling of 395007690 in words is "three hundred ninety-five million, seven thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 307 330 385 462 557 614 770 921 1114 1155 1535 1671 1842 2149 2310 2785 3070 3342 3377 3899 4298 4605 5570 6127 6447 6754 7798 8355 9210 10131 10745 11697 12254 12894 16710 16885 18381 19495 20262 21490 23394 23639 30635 32235 33770 36762 38990 42889 47278 50655 58485 61270 64470 70917 85778 91905 101310 116970 118195 128667 141834 170999 183810 214445 236390 257334 341998 354585 428890 512997 643335 709170 854995 1025994 1196993 1286670 1709990 1880989 2393986 2564985 3590979 3761978 5129970 5642967 5984965 7181958 9404945 11285934 11969930 13166923 17954895 18809890 26333846 28214835 35909790 39500769 56429670 65834615 79001538 131669230 197503845 395007690