Search a number
-
+
168612840 = 23355111983
BaseRepresentation
bin10100000110011…
…01001111101000
3102202021102100000
422003031033220
5321131102330
624421543000
74115120424
oct1203151750
9382242300
10168612840
11871a5360
1248574a60
1328c17b16
1418571b84
15ec09560
hexa0cd3e8

168612840 has 384 divisors, whose sum is σ = 660441600. Its totient is φ = 38257920.

The previous prime is 168612823. The next prime is 168612841. The reversal of 168612840 is 48216861.

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

It is a junction number, because it is equal to n+sod(n) for n = 168612795 and 168612804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168612841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2031439 + ... + 2031521.

It is an arithmetic number, because the mean of its divisors is an integer number (1719900).

Almost surely, 2168612840 is an apocalyptic number.

168612840 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 168612840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330220800).

168612840 is an abundant number, since it is smaller than the sum of its proper divisors (491828760).

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

168612840 is a wasteful number, since it uses less digits than its factorization.

168612840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 168612840 is about 12985.1006927170. The cubic root of 168612840 is about 552.4549651737.

It can be divided in two parts, 16861 and 2840, that added together give a triangular number (19701 = T198).

The spelling of 168612840 in words is "one hundred sixty-eight million, six hundred twelve thousand, eight hundred forty".