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146353640 = 2356159981
BaseRepresentation
bin10001011100100…
…10110111101000
3101012101112110012
420232102313220
5244431304030
622304511052
73424661666
oct1056226750
9335345405
10146353640
1175681724
124101b488
13244232b4
1415619c36
15ccae095
hex8b92de8

146353640 has 32 divisors (see below), whose sum is σ = 334699560. Its totient is φ = 57580800.

The previous prime is 146353631. The next prime is 146353643. The reversal of 146353640 is 46353641.

146353640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 49252324 + 97101316 = 7018^2 + 9854^2 .

It is a junction number, because it is equal to n+sod(n) for n = 146353597 and 146353606.

It is not an unprimeable number, because it can be changed into a prime (146353643) 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, 27551 + ... + 32430.

Almost surely, 2146353640 is an apocalyptic number.

146353640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146353640 is an abundant number, since it is smaller than the sum of its proper divisors (188345920).

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

146353640 is a wasteful number, since it uses less digits than its factorization.

146353640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60053 (or 60049 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 146353640 is about 12097.6708502091. The cubic root of 146353640 is about 526.9885461398.

Subtracting from 146353640 its reverse (46353641), we obtain a palindrome (99999999).

The spelling of 146353640 in words is "one hundred forty-six million, three hundred fifty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1220 2440 59981 119962 239924 299905 479848 599810 1199620 2399240 3658841 7317682 14635364 18294205 29270728 36588410 73176820 146353640