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146263240 = 23517297417
BaseRepresentation
bin10001011011111…
…00110011001000
3101012012221110001
420231330303020
5244420410430
622302532344
73424134304
oct1055746310
9335187401
10146263240
117561a812
1240b970b4
13243c10c6
14155d4d04
15cc923ca
hex8b7ccc8

146263240 has 64 divisors (see below), whose sum is σ = 360514800. Its totient is φ = 53157888.

The previous prime is 146263231. The next prime is 146263259. The reversal of 146263240 is 42362641.

146263240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 109369764 + 36893476 = 10458^2 + 6074^2 .

It is a junction number, because it is equal to n+sod(n) for n = 146263199 and 146263208.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16012 + ... + 23428.

Almost surely, 2146263240 is an apocalyptic number.

146263240 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 146263240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180257400).

146263240 is an abundant number, since it is smaller than the sum of its proper divisors (214251560).

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

146263240 is a wasteful number, since it uses less digits than its factorization.

146263240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7474 (or 7470 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 146263240 is about 12093.9340166879. The cubic root of 146263240 is about 526.8800200230.

The spelling of 146263240 in words is "one hundred forty-six million, two hundred sixty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 17 20 29 34 40 58 68 85 116 136 145 170 232 290 340 493 580 680 986 1160 1972 2465 3944 4930 7417 9860 14834 19720 29668 37085 59336 74170 126089 148340 215093 252178 296680 430186 504356 630445 860372 1008712 1075465 1260890 1720744 2150930 2521780 3656581 4301860 5043560 7313162 8603720 14626324 18282905 29252648 36565810 73131620 146263240