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158468000 = 2553173229
BaseRepresentation
bin10010111001000…
…00011110100000
3102001012000020012
421130200132200
5311031434000
623420304052
73632645555
oct1134403640
9361160205
10158468000
11814a6399
12450a2028
1326aa5362
1417090a2c
15dda3735
hex97207a0

158468000 has 96 divisors (see below), whose sum is σ = 393316560. Its totient is φ = 62745600.

The previous prime is 158467951. The next prime is 158468021. The reversal of 158468000 is 864851.

It can be written as a sum of positive squares in 8 ways, for example, as 62663056 + 95804944 = 7916^2 + 9788^2 .

It is a super-2 number, since 2×1584680002 = 50224214048000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 691886 + ... + 692114.

Almost surely, 2158468000 is an apocalyptic number.

158468000 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 158468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196658280).

158468000 is an abundant number, since it is smaller than the sum of its proper divisors (234848560).

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

158468000 is a wasteful number, since it uses less digits than its factorization.

158468000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 158468000 is about 12588.4073655090. The cubic root of 158468000 is about 541.1452602558.

The spelling of 158468000 in words is "one hundred fifty-eight million, four hundred sixty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 173 200 229 250 346 400 458 500 692 800 865 916 1000 1145 1384 1730 1832 2000 2290 2768 3460 3664 4000 4325 4580 5536 5725 6920 7328 8650 9160 11450 13840 17300 18320 21625 22900 27680 28625 34600 36640 39617 43250 45800 57250 69200 79234 86500 91600 114500 138400 158468 173000 183200 198085 229000 316936 346000 396170 458000 633872 692000 792340 916000 990425 1267744 1584680 1980850 3169360 3961700 4952125 6338720 7923400 9904250 15846800 19808500 31693600 39617000 79234000 158468000