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146149040 = 2451826863
BaseRepresentation
bin10001011011000…
…00111010110000
3101012000010210102
420231200322300
5244403232130
622300251532
73423150332
oct1055407260
9335003712
10146149040
1175551a34
1240b40ba8
132438112b
14155a5452
15cc6d645
hex8b60eb0

146149040 has 20 divisors (see below), whose sum is σ = 339796704. Its totient is φ = 58459584.

The previous prime is 146149039. The next prime is 146149049. The reversal of 146149040 is 40941641.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 146148994 and 146149012.

It is not an unprimeable number, because it can be changed into a prime (146149049) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 913352 + ... + 913511.

Almost surely, 2146149040 is an apocalyptic number.

146149040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146149040 is an abundant number, since it is smaller than the sum of its proper divisors (193647664).

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

146149040 is a wasteful number, since it uses less digits than its factorization.

146149040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1826876 (or 1826870 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 146149040 is about 12089.2117195457. The cubic root of 146149040 is about 526.7428578194.

The spelling of 146149040 in words is "one hundred forty-six million, one hundred forty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1826863 3653726 7307452 9134315 14614904 18268630 29229808 36537260 73074520 146149040