Search a number
-
+
385123960 = 235132232477
BaseRepresentation
bin10110111101001…
…000011001111000
3222211200022202101
4112331020121320
51242042431320
6102114313144
712354333244
oct2675103170
9884608671
10385123960
11188435371
12a8b887b4
1361a33500
1439211424
1523c25c0a
hex16f48678

385123960 has 96 divisors (see below), whose sum is σ = 979503840. Its totient is φ = 135962112.

The previous prime is 385123957. The next prime is 385123979. The reversal of 385123960 is 69321583.

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, 154242 + ... + 156718.

It is an arithmetic number, because the mean of its divisors is an integer number (10203165).

Almost surely, 2385123960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385123960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489751920).

385123960 is an abundant number, since it is smaller than the sum of its proper divisors (594379880).

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

385123960 is a wasteful number, since it uses less digits than its factorization.

385123960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2537 (or 2520 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 385123960 is about 19624.5754094197. The cubic root of 385123960 is about 727.5567029094.

The spelling of 385123960 in words is "three hundred eighty-five million, one hundred twenty-three thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 23 26 40 46 52 65 92 104 115 130 169 184 230 260 299 338 460 520 598 676 845 920 1196 1352 1495 1690 2392 2477 2990 3380 3887 4954 5980 6760 7774 9908 11960 12385 15548 19435 19816 24770 31096 32201 38870 49540 56971 64402 77740 99080 113942 128804 155480 161005 227884 257608 284855 322010 418613 455768 569710 644020 740623 837226 1139420 1288040 1481246 1674452 2093065 2278840 2962492 3348904 3703115 4186130 5924984 7406230 8372260 9628099 14812460 16744520 19256198 29624920 38512396 48140495 77024792 96280990 192561980 385123960