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146999820 = 223511713137
BaseRepresentation
bin10001100001100…
…00101000001100
3101020121100211210
420300300220030
5300112443240
622330414420
73433322622
oct1060605014
9336540753
10146999820
1175a83160
1241291410
13245bb456
1415747512
15cd8a780
hex8c30a0c

146999820 has 96 divisors (see below), whose sum is σ = 455486976. Its totient is φ = 35123200.

The previous prime is 146999819. The next prime is 146999821. The reversal of 146999820 is 28999641.

It is an interprime number because it is at equal distance from previous prime (146999819) and next prime (146999821).

It is a self number, because there is not a number n which added to its sum of digits gives 146999820.

It is not an unprimeable number, because it can be changed into a prime (146999821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45292 + ... + 48428.

It is an arithmetic number, because the mean of its divisors is an integer number (4744656).

Almost surely, 2146999820 is an apocalyptic number.

146999820 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 146999820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227743488).

146999820 is an abundant number, since it is smaller than the sum of its proper divisors (308487156).

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

146999820 is a wasteful number, since it uses less digits than its factorization.

146999820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3231 (or 3229 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The square root of 146999820 is about 12124.3482299050. The cubic root of 146999820 is about 527.7629933768.

The spelling of 146999820 in words is "one hundred forty-six million, nine hundred ninety-nine thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 71 110 132 142 165 213 220 284 330 355 426 660 710 781 852 1065 1420 1562 2130 2343 3124 3137 3905 4260 4686 6274 7810 9372 9411 11715 12548 15620 15685 18822 23430 31370 34507 37644 46860 47055 62740 69014 94110 103521 138028 172535 188220 207042 222727 345070 414084 445454 517605 668181 690140 890908 1035210 1113635 1336362 2070420 2227270 2449997 2672724 3340905 4454540 4899994 6681810 7349991 9799988 12249985 13363620 14699982 24499970 29399964 36749955 48999940 73499910 146999820