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146001640 = 2359293929
BaseRepresentation
bin10001011001111…
…00111011101000
3101011201122121011
420230330323220
5244334023030
622253153304
73421664521
oct1054747350
9334648534
10146001640
1175461214
1240a8b834
132432c005
1415567848
15cc3eb2a
hex8b3cee8

146001640 has 32 divisors (see below), whose sum is σ = 328941000. Its totient is φ = 58322944.

The previous prime is 146001637. The next prime is 146001649. The reversal of 146001640 is 46100641.

It can be written as a sum of positive squares in 4 ways, for example, as 44435556 + 101566084 = 6666^2 + 10078^2 .

It is not an unprimeable number, because it can be changed into a prime (146001649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35196 + ... + 39124.

Almost surely, 2146001640 is an apocalyptic number.

146001640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146001640 is an abundant number, since it is smaller than the sum of its proper divisors (182939360).

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

146001640 is a wasteful number, since it uses less digits than its factorization.

146001640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4869 (or 4865 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 146001640 is about 12083.1138370869. The cubic root of 146001640 is about 526.5657144183.

Subtracting from 146001640 its reverse (46100641), we obtain a palindrome (99900999).

It can be divided in two parts, 146001 and 640, that added together give a palindrome (146641).

The spelling of 146001640 in words is "one hundred forty-six million, one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 929 1858 3716 3929 4645 7432 7858 9290 15716 18580 19645 31432 37160 39290 78580 157160 3650041 7300082 14600164 18250205 29200328 36500410 73000820 146001640