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146046460 = 22572149027
BaseRepresentation
bin10001011010001…
…11110111111100
3101011210221002011
420231013313330
5244341441320
622254141004
73422242300
oct1055076774
9334727064
10146046460
117549195a
1240ab1764
1324346531
1415579d00
15cc4d05a
hex8b47dfc

146046460 has 36 divisors (see below), whose sum is σ = 356773032. Its totient is φ = 50072736.

The previous prime is 146046457. The next prime is 146046463. The reversal of 146046460 is 64640641.

It is an interprime number because it is at equal distance from previous prime (146046457) and next prime (146046463).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146046463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73534 + ... + 75493.

It is an arithmetic number, because the mean of its divisors is an integer number (9910362).

Almost surely, 2146046460 is an apocalyptic number.

146046460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146046460 is an abundant number, since it is smaller than the sum of its proper divisors (210726572).

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

146046460 is a wasteful number, since it uses less digits than its factorization.

146046460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149050 (or 149041 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 146046460 is about 12084.9683491518. The cubic root of 146046460 is about 526.6195911207.

The spelling of 146046460 in words is "one hundred forty-six million, forty-six thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 149027 298054 596108 745135 1043189 1490270 2086378 2980540 4172756 5215945 7302323 10431890 14604646 20863780 29209292 36511615 73023230 146046460