Search a number
-
+
390057696 = 253271631187
BaseRepresentation
bin10111001111111…
…100111011100000
31000011221222120100
4113033330323200
51244323321241
6102412142400
712444302310
oct2717747340
91004858510
10390057696
111901a5136
12aa767a00
1362a70092
1439b37440
152439c9b6
hex173fcee0

390057696 has 144 divisors (see below), whose sum is σ = 1276539264. Its totient is φ = 110668032.

The previous prime is 390057683. The next prime is 390057751. The reversal of 390057696 is 696750093.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 328015 + ... + 329201.

It is an arithmetic number, because the mean of its divisors is an integer number (8864856).

Almost surely, 2390057696 is an apocalyptic number.

390057696 is a gapful number since it is divisible by the number (36) 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 390057696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638269632).

390057696 is an abundant number, since it is smaller than the sum of its proper divisors (886481568).

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

390057696 is a wasteful number, since it uses less digits than its factorization.

390057696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 390057696 is about 19749.8783793724. The cubic root of 390057696 is about 730.6503842844.

The spelling of 390057696 in words is "three hundred ninety million, fifty-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 163 168 224 252 288 326 336 489 504 652 672 978 1008 1141 1187 1304 1467 1956 2016 2282 2374 2608 2934 3423 3561 3912 4564 4748 5216 5868 6846 7122 7824 8309 9128 9496 10269 10683 11736 13692 14244 15648 16618 18256 18992 20538 21366 23472 24927 27384 28488 33236 36512 37984 41076 42732 46944 49854 54768 56976 66472 74781 82152 85464 99708 109536 113952 132944 149562 164304 170928 193481 199416 265888 299124 328608 341856 386962 398832 580443 598248 773924 797664 1160886 1196496 1354367 1547848 1741329 2321772 2392992 2708734 3095696 3482658 4063101 4643544 5417468 6191392 6965316 8126202 9287088 10834936 12189303 13930632 16252404 18574176 21669872 24378606 27861264 32504808 43339744 48757212 55722528 65009616 97514424 130019232 195028848 390057696