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146322480 = 24353171277
BaseRepresentation
bin10001011100010…
…11010000110000
3101012022221201010
420232023100300
5244424304410
622304110520
73424502103
oct1056132060
9335287633
10146322480
1175660277
1241005440
1324412065
141560c73a
15cca4c20
hex8b8b430

146322480 has 160 divisors (see below), whose sum is σ = 476540928. Its totient is φ = 37094400.

The previous prime is 146322479. The next prime is 146322493. The reversal of 146322480 is 84223641.

146322480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 528102 + ... + 528378.

Almost surely, 2146322480 is an apocalyptic number.

146322480 is a gapful number since it is divisible by the number (10) 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 146322480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238270464).

146322480 is an abundant number, since it is smaller than the sum of its proper divisors (330218448).

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

146322480 is a wasteful number, since it uses less digits than its factorization.

146322480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 146322480 is about 12096.3829304466. The cubic root of 146322480 is about 526.9511432923.

The spelling of 146322480 in words is "one hundred forty-six million, three hundred twenty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 71 80 93 120 124 142 155 186 213 240 248 277 284 310 355 372 426 465 496 554 568 620 710 744 831 852 930 1065 1108 1136 1240 1385 1420 1488 1662 1704 1860 2130 2201 2216 2480 2770 2840 3324 3408 3720 4155 4260 4402 4432 5540 5680 6603 6648 7440 8310 8520 8587 8804 11005 11080 13206 13296 16620 17040 17174 17608 19667 22010 22160 25761 26412 33015 33240 34348 35216 39334 42935 44020 51522 52824 59001 66030 66480 68696 78668 85870 88040 98335 103044 105648 118002 128805 132060 137392 157336 171740 176080 196670 206088 236004 257610 264120 295005 314672 343480 393340 412176 472008 515220 528240 590010 609677 686960 786680 944016 1030440 1180020 1219354 1573360 1829031 2060880 2360040 2438708 3048385 3658062 4720080 4877416 6096770 7316124 9145155 9754832 12193540 14632248 18290310 24387080 29264496 36580620 48774160 73161240 146322480