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380660160 = 26353112791
BaseRepresentation
bin10110101100000…
…110100111000000
3222112021112120110
4112230012213000
51234422111120
6101434511320
712301362246
oct2654064700
9875245513
10380660160
11185966681
12a7595540
1360b2c7ca
14387ac796
15236432e0
hex16b069c0

380660160 has 112 divisors (see below), whose sum is σ = 1247680512. Its totient is φ = 98227200.

The previous prime is 380660101. The next prime is 380660167. The reversal of 380660160 is 61066083.

It is a super-2 number, since 2×3806601602 = 289804314822451200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380660167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23365 + ... + 36155.

Almost surely, 2380660160 is an apocalyptic number.

380660160 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 380660160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623840256).

380660160 is an abundant number, since it is smaller than the sum of its proper divisors (867020352).

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

380660160 is a wasteful number, since it uses less digits than its factorization.

380660160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12842 (or 12832 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 380660160 is about 19510.5140885626. The cubic root of 380660160 is about 724.7348439790.

The spelling of 380660160 in words is "three hundred eighty million, six hundred sixty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 155 160 186 192 240 248 310 320 372 465 480 496 620 744 930 960 992 1240 1488 1860 1984 2480 2976 3720 4960 5952 7440 9920 12791 14880 25582 29760 38373 51164 63955 76746 102328 127910 153492 191865 204656 255820 306984 383730 396521 409312 511640 613968 767460 793042 818624 1023280 1189563 1227936 1534920 1586084 1982605 2046560 2379126 2455872 3069840 3172168 3965210 4093120 4758252 5947815 6139680 6344336 7930420 9516504 11895630 12279360 12688672 15860840 19033008 23791260 25377344 31721680 38066016 47582520 63443360 76132032 95165040 126886720 190330080 380660160