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146516340 = 22356773607
BaseRepresentation
bin10001011101110…
…10100101110100
3101012200210122010
420232322211310
5300002010330
622312204220
73426240225
oct1056724564
9335623563
10146516340
1175782993
1241099670
132447c379
141565d24c
15cce23b0
hex8bba974

146516340 has 48 divisors (see below), whose sum is σ = 410965632. Its totient is φ = 39002496.

The previous prime is 146516317. The next prime is 146516341. The reversal of 146516340 is 43615641.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 146516298 and 146516307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146516341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38817 + ... + 42423.

It is an arithmetic number, because the mean of its divisors is an integer number (8561784).

Almost surely, 2146516340 is an apocalyptic number.

146516340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146516340 is an abundant number, since it is smaller than the sum of its proper divisors (264449292).

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

146516340 is a wasteful number, since it uses less digits than its factorization.

146516340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4296 (or 4294 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 146516340 is about 12104.3934172680. The cubic root of 146516340 is about 527.1837565984.

The spelling of 146516340 in words is "one hundred forty-six million, five hundred sixteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 677 1354 2031 2708 3385 3607 4062 6770 7214 8124 10155 10821 13540 14428 18035 20310 21642 36070 40620 43284 54105 72140 108210 216420 2441939 4883878 7325817 9767756 12209695 14651634 24419390 29303268 36629085 48838780 73258170 146516340