Search a number
-
+
385974680 = 235713107991
BaseRepresentation
bin10111000000011…
…000000110011000
3222220021112201112
4113000120012120
51242302142210
6102144435452
712364505420
oct2700300630
9886245645
10385974680
11188966543
12a9318b88
1361c707b0
1439393480
1523d42d05
hex17018198

385974680 has 128 divisors (see below), whose sum is σ = 1079930880. Its totient is φ = 120890880.

The previous prime is 385974671. The next prime is 385974727. The reversal of 385974680 is 86479583.

It is a super-2 number, since 2×3859746802 = 297952907202204800, which contains 22 as substring.

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, 388985 + ... + 389975.

It is an arithmetic number, because the mean of its divisors is an integer number (8436960).

Almost surely, 2385974680 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 385974680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539965440).

385974680 is an abundant number, since it is smaller than the sum of its proper divisors (693956200).

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

385974680 is a wasteful number, since it uses less digits than its factorization.

385974680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 50.

The square root of 385974680 is about 19646.2383167873. The cubic root of 385974680 is about 728.0920213348.

The spelling of 385974680 in words is "three hundred eighty-five million, nine hundred seventy-four thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 107 130 140 182 214 260 280 364 428 455 520 535 728 749 856 910 991 1070 1391 1498 1820 1982 2140 2782 2996 3640 3745 3964 4280 4955 5564 5992 6937 6955 7490 7928 9737 9910 11128 12883 13874 13910 14980 19474 19820 25766 27748 27820 29960 34685 38948 39640 48685 51532 55496 55640 64415 69370 77896 90181 97370 103064 106037 128830 138740 180362 194740 212074 257660 277480 360724 389480 424148 450905 515320 530185 721448 742259 848296 901810 1060370 1378481 1484518 1803620 2120740 2756962 2969036 3607240 3711295 4241480 5513924 5938072 6892405 7422590 9649367 11027848 13784810 14845180 19298734 27569620 29690360 38597468 48246835 55139240 77194936 96493670 192987340 385974680