Search a number
-
+
168148080 = 24325409571
BaseRepresentation
bin10100000010110…
…11110001110000
3102201101210210200
422001123301300
5321021214310
624403555200
74111143432
oct1201336160
9381353720
10168148080
1186a08161
124838bb00
1328ab4409
1418490652
15eb669c0
hexa05bc70

168148080 has 120 divisors (see below), whose sum is σ = 567069360. Its totient is φ = 44651520.

The previous prime is 168148073. The next prime is 168148109. The reversal of 168148080 is 80841861.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 294195 + ... + 294765.

It is an arithmetic number, because the mean of its divisors is an integer number (4725578).

Almost surely, 2168148080 is an apocalyptic number.

168148080 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 168148080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283534680).

168148080 is an abundant number, since it is smaller than the sum of its proper divisors (398921280).

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

168148080 is a wasteful number, since it uses less digits than its factorization.

168148080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 168148080 is about 12967.1924486374. The cubic root of 168148080 is about 551.9469073069.

The spelling of 168148080 in words is "one hundred sixty-eight million, one hundred forty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 409 571 720 818 1142 1227 1636 1713 2045 2284 2454 2855 3272 3426 3681 4090 4568 4908 5139 5710 6135 6544 6852 7362 8180 8565 9136 9816 10278 11420 12270 13704 14724 16360 17130 18405 19632 20556 22840 24540 25695 27408 29448 32720 34260 36810 41112 45680 49080 51390 58896 68520 73620 82224 98160 102780 137040 147240 205560 233539 294480 411120 467078 700617 934156 1167695 1401234 1868312 2101851 2335390 2802468 3503085 3736624 4203702 4670780 5604936 7006170 8407404 9341560 10509255 11209872 14012340 16814808 18683120 21018510 28024680 33629616 42037020 56049360 84074040 168148080