Search a number
-
+
10159920 = 24325103137
BaseRepresentation
bin100110110000…
…011100110000
3201010011210100
4212300130300
510100104140
61001432400
7152233521
oct46603460
921104710
1010159920
11580a331
12349b700
1321495b4
1414c6848
15d5a530
hex9b0730

10159920 has 120 divisors (see below), whose sum is σ = 34703136. Its totient is φ = 2663424.

The previous prime is 10159913. The next prime is 10159937. The reversal of 10159920 is 2995101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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, 74092 + ... + 74228.

Almost surely, 210159920 is an apocalyptic number.

10159920 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 10159920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17351568).

10159920 is an abundant number, since it is smaller than the sum of its proper divisors (24543216).

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

10159920 is a wasteful number, since it uses less digits than its factorization.

10159920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The square root of 10159920 is about 3187.4629409610. The cubic root of 10159920 is about 216.5858580966.

The spelling of 10159920 in words is "ten million, one hundred fifty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 103 120 137 144 180 206 240 274 309 360 411 412 515 548 618 685 720 822 824 927 1030 1096 1233 1236 1370 1545 1644 1648 1854 2055 2060 2192 2466 2472 2740 3090 3288 3708 4110 4120 4635 4932 4944 5480 6165 6180 6576 7416 8220 8240 9270 9864 10960 12330 12360 14111 14832 16440 18540 19728 24660 24720 28222 32880 37080 42333 49320 56444 70555 74160 84666 98640 112888 126999 141110 169332 211665 225776 253998 282220 338664 423330 507996 564440 634995 677328 846660 1015992 1128880 1269990 1693320 2031984 2539980 3386640 5079960 10159920