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146780704 = 2571374783
BaseRepresentation
bin10001011111110…
…11001000100000
3101020012020021101
420233323020200
5300033440304
622322004144
73431421040
oct1057731040
9336166241
10146780704
1175943574
12411a6654
13245427b5
14156cb720
15cd458a4
hex8bfb220

146780704 has 48 divisors (see below), whose sum is σ = 332736768. Its totient is φ = 62433792.

The previous prime is 146780677. The next prime is 146780707. The reversal of 146780704 is 407087641.

It is not an unprimeable number, because it can be changed into a prime (146780707) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 28297 + ... + 33079.

It is an arithmetic number, because the mean of its divisors is an integer number (6932016).

Almost surely, 2146780704 is an apocalyptic number.

146780704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146780704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166368384).

146780704 is an abundant number, since it is smaller than the sum of its proper divisors (185956064).

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

146780704 is a wasteful number, since it uses less digits than its factorization.

146780704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4937 (or 4929 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 37.

The square root of 146780704 is about 12115.3086630098. The cubic root of 146780704 is about 527.5006374512.

The spelling of 146780704 in words is "one hundred forty-six million, seven hundred eighty thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 137 224 274 548 959 1096 1918 2192 3836 4384 4783 7672 9566 15344 19132 30688 33481 38264 66962 76528 133924 153056 267848 535696 655271 1071392 1310542 2621084 4586897 5242168 9173794 10484336 18347588 20968672 36695176 73390352 146780704