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146914768 = 24711139173
BaseRepresentation
bin10001100000110…
…11110111010000
3101020110001011201
420300123313100
5300102233033
622324520544
73432516640
oct1060336720
9336401151
10146914768
1175a25270
1241250154
132458b820
1415724520
15cd7047d
hex8c1bdd0

146914768 has 80 divisors (see below), whose sum is σ = 382225536. Its totient is φ = 52830720.

The previous prime is 146914741. The next prime is 146914769. The reversal of 146914768 is 867419641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146914769) 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 15 ways as a sum of consecutive naturals, for example, 11430 + ... + 20602.

Almost surely, 2146914768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146914768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191112768).

146914768 is an abundant number, since it is smaller than the sum of its proper divisors (235310768).

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

146914768 is a wasteful number, since it uses less digits than its factorization.

146914768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9212 (or 9206 counting only the distinct ones).

The product of its digits is 290304, while the sum is 46.

The square root of 146914768 is about 12120.8402349012. The cubic root of 146914768 is about 527.6611883588.

The spelling of 146914768 in words is "one hundred forty-six million, nine hundred fourteen thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 112 143 154 176 182 208 286 308 364 572 616 728 1001 1144 1232 1456 2002 2288 4004 8008 9173 16016 18346 36692 64211 73384 100903 119249 128422 146768 201806 238498 256844 403612 476996 513688 706321 807224 834743 953992 1027376 1311739 1412642 1614448 1669486 1907984 2623478 2825284 3338972 5246956 5650568 6677944 9182173 10493912 11301136 13355888 18364346 20987824 36728692 73457384 146914768