Search a number
-
+
154146816 = 211328363
BaseRepresentation
bin10010011000000…
…01100000000000
3101202001110200100
421030001200000
5303430144231
623143522400
73551140425
oct1114014000
9352043610
10154146816
117a01486a
1243759400
1325c21545
1416687d4c
15d7ed1e6
hex9301800

154146816 has 72 divisors (see below), whose sum is σ = 445257540. Its totient is φ = 51376128.

The previous prime is 154146781. The next prime is 154146821. The reversal of 154146816 is 618641451.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1541468162 = 47522481765875712, which contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 14251 + ... + 22613.

Almost surely, 2154146816 is an apocalyptic number.

154146816 is a gapful number since it is divisible by the number (16) 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 154146816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222628770).

154146816 is an abundant number, since it is smaller than the sum of its proper divisors (291110724).

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

154146816 is an equidigital number, since it uses as much as digits as its factorization.

154146816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8391 (or 8368 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 154146816 is about 12415.5876220177. The cubic root of 154146816 is about 536.1811224232.

The spelling of 154146816 in words is "one hundred fifty-four million, one hundred forty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4608 6144 8363 9216 16726 18432 25089 33452 50178 66904 75267 100356 133808 150534 200712 267616 301068 401424 535232 602136 802848 1070464 1204272 1605696 2140928 2408544 3211392 4281856 4817088 6422784 8563712 9634176 12845568 17127424 19268352 25691136 38536704 51382272 77073408 154146816