Search a number
-
+
148111360 = 2185113
BaseRepresentation
bin10001101010000…
…00000000000000
3101022200211120221
420311000000000
5300404030420
622410312424
73445632355
oct1065000000
9338624527
10148111360
1176672291
1241728714
13248ba377
141595662c
15d009caa
hex8d40000

148111360 has 76 divisors (see below), whose sum is σ = 358612308. Its totient is φ = 58720256.

The previous prime is 148111331. The next prime is 148111363. The reversal of 148111360 is 63111841.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 21233664 + 126877696 = 4608^2 + 11264^2 .

It is a super-2 number, since 2×1481113602 = 43873949922099200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148111363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1310664 + ... + 1310776.

It is an arithmetic number, because the mean of its divisors is an integer number (4718583).

Almost surely, 2148111360 is an apocalyptic number.

148111360 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 148111360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179306154).

148111360 is an abundant number, since it is smaller than the sum of its proper divisors (210500948).

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

148111360 is an frugal number, since it uses more digits than its factorization.

148111360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 148111360 is about 12170.1010677808. The cubic root of 148111360 is about 529.0898822048.

The spelling of 148111360 in words is "one hundred forty-eight million, one hundred eleven thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 113 128 160 226 256 320 452 512 565 640 904 1024 1130 1280 1808 2048 2260 2560 3616 4096 4520 5120 7232 8192 9040 10240 14464 16384 18080 20480 28928 32768 36160 40960 57856 65536 72320 81920 115712 131072 144640 163840 231424 262144 289280 327680 462848 578560 655360 925696 1157120 1310720 1851392 2314240 3702784 4628480 7405568 9256960 14811136 18513920 29622272 37027840 74055680 148111360