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146465440 = 2551183219
BaseRepresentation
bin10001011101011…
…10001010100000
3101012121012210221
420232232022200
5244443343230
622311132424
73425635642
oct1056561240
9335535727
10146465440
1175748720
1241074114
1324462154
1415648892
15ccd227a
hex8bae2a0

146465440 has 48 divisors (see below), whose sum is σ = 377485920. Its totient is φ = 53259520.

The previous prime is 146465419. The next prime is 146465461. The reversal of 146465440 is 44564641.

It is an interprime number because it is at equal distance from previous prime (146465419) and next prime (146465461).

It is a super-2 number, since 2×1464654402 = 42904250228787200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 146465396 and 146465405.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39850 + ... + 43369.

It is an arithmetic number, because the mean of its divisors is an integer number (7864290).

Almost surely, 2146465440 is an apocalyptic number.

146465440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146465440 is an abundant number, since it is smaller than the sum of its proper divisors (231020480).

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

146465440 is a wasteful number, since it uses less digits than its factorization.

146465440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83245 (or 83237 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The square root of 146465440 is about 12102.2906922615. The cubic root of 146465440 is about 527.1227013806.

The spelling of 146465440 in words is "one hundred forty-six million, four hundred sixty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 83219 166438 332876 416095 665752 832190 915409 1331504 1664380 1830818 2663008 3328760 3661636 4577045 6657520 7323272 9154090 13315040 14646544 18308180 29293088 36616360 73232720 146465440