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385911960 = 23357676857
BaseRepresentation
bin10111000000001…
…000110010011000
3222220011100200120
4113000020302120
51242243140320
6102143233240
712364124520
oct2700106230
9886140616
10385911960
11188923405
12a92a8820
1361c4b095
1439378680
1523d2e440
hex17008c98

385911960 has 128 divisors (see below), whose sum is σ = 1343070720. Its totient is φ = 86879232.

The previous prime is 385911959. The next prime is 385911991. The reversal of 385911960 is 69119583.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52852 + ... + 59708.

It is an arithmetic number, because the mean of its divisors is an integer number (10492740).

Almost surely, 2385911960 is an apocalyptic number.

385911960 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 385911960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671535360).

385911960 is an abundant number, since it is smaller than the sum of its proper divisors (957158760).

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

385911960 is a wasteful number, since it uses less digits than its factorization.

385911960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6945 (or 6941 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 42.

The square root of 385911960 is about 19644.6420176088. The cubic root of 385911960 is about 728.0525814374.

The spelling of 385911960 in words is "three hundred eighty-five million, nine hundred eleven thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 67 70 84 105 120 134 140 168 201 210 268 280 335 402 420 469 536 670 804 840 938 1005 1340 1407 1608 1876 2010 2345 2680 2814 3752 4020 4690 5628 6857 7035 8040 9380 11256 13714 14070 18760 20571 27428 28140 34285 41142 47999 54856 56280 68570 82284 95998 102855 137140 143997 164568 191996 205710 239995 274280 287994 383992 411420 459419 479990 575988 719985 822840 918838 959980 1151976 1378257 1439970 1837676 1919960 2297095 2756514 2879940 3215933 3675352 4594190 5513028 5759880 6431866 6891285 9188380 9647799 11026056 12863732 13782570 16079665 18376760 19295598 25727464 27565140 32159330 38591196 48238995 55130280 64318660 77182392 96477990 128637320 192955980 385911960