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390706140 = 2235111095431
BaseRepresentation
bin10111010010011…
…011001111011100
31000020011221001210
4113102123033130
51300010044030
6102434104420
712452642646
oct2722331734
91006157053
10390706140
111905a8340
12aaa1b110
1362c39286
1439c65896
1524479bb0
hex1749b3dc

390706140 has 96 divisors (see below), whose sum is σ = 1204600320. Its totient is φ = 93830400.

The previous prime is 390706123. The next prime is 390706157. The reversal of 390706140 is 41607093.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (390706123) and next prime (390706157).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 390706098 and 390706107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69225 + ... + 74655.

It is an arithmetic number, because the mean of its divisors is an integer number (12547920).

Almost surely, 2390706140 is an apocalyptic number.

390706140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390706140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602300160).

390706140 is an abundant number, since it is smaller than the sum of its proper divisors (813894180).

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

390706140 is a wasteful number, since it uses less digits than its factorization.

390706140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5563 (or 5561 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 390706140 is about 19766.2879671424. The cubic root of 390706140 is about 731.0550454063.

The spelling of 390706140 in words is "three hundred ninety million, seven hundred six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 109 110 132 165 218 220 327 330 436 545 654 660 1090 1199 1308 1635 2180 2398 3270 3597 4796 5431 5995 6540 7194 10862 11990 14388 16293 17985 21724 23980 27155 32586 35970 54310 59741 65172 71940 81465 108620 119482 162930 179223 238964 298705 325860 358446 591979 597410 716892 896115 1183958 1194820 1775937 1792230 2367916 2959895 3551874 3584460 5919790 6511769 7103748 8879685 11839580 13023538 17759370 19535307 26047076 32558845 35518740 39070614 65117690 78141228 97676535 130235380 195353070 390706140