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146638940 = 22571761613
BaseRepresentation
bin10001011110110…
…00100001011100
3101012221000210212
420233120201130
5300014421230
622314551552
73430260530
oct1057304134
9335830725
10146638940
1175857008
12411385b8
13244c3106
1415691bc0
15cd18895
hex8bd885c

146638940 has 48 divisors (see below), whose sum is σ = 372641472. Its totient is φ = 47318016.

The previous prime is 146638879. The next prime is 146638951. The reversal of 146638940 is 49836641.

146638940 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28427 + ... + 33186.

It is an arithmetic number, because the mean of its divisors is an integer number (7763364).

Almost surely, 2146638940 is an apocalyptic number.

146638940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146638940 is an abundant number, since it is smaller than the sum of its proper divisors (226002532).

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

146638940 is a wasteful number, since it uses less digits than its factorization.

146638940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61646 (or 61644 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The square root of 146638940 is about 12109.4566352087. The cubic root of 146638940 is about 527.3307588814.

The spelling of 146638940 in words is "one hundred forty-six million, six hundred thirty-eight thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 1190 2380 61613 123226 246452 308065 431291 616130 862582 1047421 1232260 1725164 2094842 2156455 4189684 4312910 5237105 7331947 8625820 10474210 14663894 20948420 29327788 36659735 73319470 146638940