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146696980 = 2259775617
BaseRepresentation
bin10001011111001…
…10101100010100
3101020000222102111
420233212230110
5300023300410
622320120404
73430621663
oct1057465424
9336028374
10146696980
1175896681
1241166104
1324513661
14156a8dda
15cd2ab8a
hex8be6b14

146696980 has 24 divisors (see below), whose sum is σ = 311243688. Its totient is φ = 58073088.

The previous prime is 146696959. The next prime is 146696981. The reversal of 146696980 is 89696641.

146696980 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 4276624 + 142420356 = 2068^2 + 11934^2 .

It is a super-2 number, since 2×1466969802 = 43040007882240800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146696981) 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, 35869 + ... + 39748.

It is an arithmetic number, because the mean of its divisors is an integer number (12968487).

Almost surely, 2146696980 is an apocalyptic number.

146696980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146696980 is an abundant number, since it is smaller than the sum of its proper divisors (164546708).

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

146696980 is a wasteful number, since it uses less digits than its factorization.

146696980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75723 (or 75721 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 49.

The square root of 146696980 is about 12111.8528722900. The cubic root of 146696980 is about 527.4003225779.

The spelling of 146696980 in words is "one hundred forty-six million, six hundred ninety-six thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 97 194 388 485 970 1940 75617 151234 302468 378085 756170 1512340 7334849 14669698 29339396 36674245 73348490 146696980