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146948080 = 2452238237
BaseRepresentation
bin10001100001000…
…11111111110000
3101020111201212111
420300203333300
5300104314310
622325335104
73433016026
oct1060437760
9336451774
10146948080
1175a482a4
1241267494
13245a0a36
1415732716
15cd7a28a
hex8c23ff0

146948080 has 40 divisors (see below), whose sum is σ = 343228032. Its totient is φ = 58508544.

The previous prime is 146948047. The next prime is 146948093. The reversal of 146948080 is 80849641.

146948080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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, 13722 + ... + 21958.

Almost surely, 2146948080 is an apocalyptic number.

146948080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146948080 is an abundant number, since it is smaller than the sum of its proper divisors (196279952).

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

146948080 is a wasteful number, since it uses less digits than its factorization.

146948080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8473 (or 8467 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 146948080 is about 12122.2143191745. The cubic root of 146948080 is about 527.7010666306.

The spelling of 146948080 in words is "one hundred forty-six million, nine hundred forty-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 223 446 892 1115 1784 2230 3568 4460 8237 8920 16474 17840 32948 41185 65896 82370 131792 164740 329480 658960 1836851 3673702 7347404 9184255 14694808 18368510 29389616 36737020 73474040 146948080