Search a number
-
+
168104640 = 26351115919
BaseRepresentation
bin10100000010100…
…01001011000000
3102201022121012210
422001101023000
5321013322030
624403022120
74110602664
oct1201211300
9381277183
10168104640
1186988560
124836a940
1328a9a702
141847c8a4
15eb58bb0
hexa0512c0

168104640 has 112 divisors (see below), whose sum is σ = 582289920. Its totient is φ = 40750080.

The previous prime is 168104627. The next prime is 168104681. The reversal of 168104640 is 46401861.

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

It is a junction number, because it is equal to n+sod(n) for n = 168104598 and 168104607.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2601 + ... + 18519.

Almost surely, 2168104640 is an apocalyptic number.

168104640 is a gapful number since it is divisible by the number (10) 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 168104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291144960).

168104640 is an abundant number, since it is smaller than the sum of its proper divisors (414185280).

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

168104640 is a wasteful number, since it uses less digits than its factorization.

168104640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15950 (or 15940 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 168104640 is about 12965.5173440939. The cubic root of 168104640 is about 551.8993725414.

The spelling of 168104640 in words is "one hundred sixty-eight million, one hundred four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 5280 10560 15919 31838 47757 63676 79595 95514 127352 159190 175109 191028 238785 254704 318380 350218 382056 477570 509408 525327 636760 700436 764112 875545 955140 1018816 1050654 1273520 1400872 1528224 1751090 1910280 2101308 2547040 2626635 2801744 3056448 3502180 3820560 4202616 5094080 5253270 5603488 7004360 7641120 8405232 10506540 11206976 14008720 15282240 16810464 21013080 28017440 33620928 42026160 56034880 84052320 168104640