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146739960 = 23325715741
BaseRepresentation
bin10001011111100…
…01001011111000
3101020010011101100
420233301023320
5300031134320
622321051400
73431161203
oct1057611370
9336104340
10146739960
11759159a4
1241186b60
132452a0a3
14156ba93a
15cd38790
hex8bf12f8

146739960 has 96 divisors (see below), whose sum is σ = 483706080. Its totient is φ = 38572800.

The previous prime is 146739959. The next prime is 146739961. The reversal of 146739960 is 69937641.

It is an interprime number because it is at equal distance from previous prime (146739959) and next prime (146739961).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146739961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22690 + ... + 28430.

It is an arithmetic number, because the mean of its divisors is an integer number (5038605).

Almost surely, 2146739960 is an apocalyptic number.

146739960 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 146739960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241853040).

146739960 is an abundant number, since it is smaller than the sum of its proper divisors (336966120).

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

146739960 is a wasteful number, since it uses less digits than its factorization.

146739960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5829 (or 5822 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 146739960 is about 12113.6270373493. The cubic root of 146739960 is about 527.4518243254.

The spelling of 146739960 in words is "one hundred forty-six million, seven hundred thirty-nine thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 71 72 90 120 142 180 213 284 355 360 426 568 639 710 852 1065 1278 1420 1704 2130 2556 2840 3195 4260 5112 5741 6390 8520 11482 12780 17223 22964 25560 28705 34446 45928 51669 57410 68892 86115 103338 114820 137784 172230 206676 229640 258345 344460 407611 413352 516690 688920 815222 1033380 1222833 1630444 2038055 2066760 2445666 3260888 3668499 4076110 4891332 6114165 7336998 8152220 9782664 12228330 14673996 16304440 18342495 24456660 29347992 36684990 48913320 73369980 146739960