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146021120 = 285743379
BaseRepresentation
bin10001011010000…
…01101100000000
3101011202122022122
420231001230000
5244340133440
622253423412
73422105360
oct1055015400
9334678278
10146021120
1175474913
1240a9ab68
1324337b3b
14155709a0
15cc457b5
hex8b41b00

146021120 has 144 divisors (see below), whose sum is σ = 410108160. Its totient is φ = 48771072.

The previous prime is 146021101. The next prime is 146021159. The reversal of 146021120 is 21120641.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 385091 + ... + 385469.

Almost surely, 2146021120 is an apocalyptic number.

146021120 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 146021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205054080).

146021120 is an abundant number, since it is smaller than the sum of its proper divisors (264087040).

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

146021120 is an equidigital number, since it uses as much as digits as its factorization.

146021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 146021120 is about 12083.9198938093. The cubic root of 146021120 is about 526.5891320638.

Adding to 146021120 its reverse (21120641), we get a palindrome (167141761).

The spelling of 146021120 in words is "one hundred forty-six million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 43 56 64 70 80 86 112 128 140 160 172 215 224 256 280 301 320 344 379 430 448 560 602 640 688 758 860 896 1120 1204 1280 1376 1505 1516 1720 1792 1895 2240 2408 2653 2752 3010 3032 3440 3790 4480 4816 5306 5504 6020 6064 6880 7580 8960 9632 10612 11008 12040 12128 13265 13760 15160 16297 19264 21224 24080 24256 26530 27520 30320 32594 38528 42448 48160 48512 53060 55040 60640 65188 77056 81485 84896 96320 97024 106120 114079 121280 130376 162970 169792 192640 212240 228158 242560 260752 325940 339584 385280 424480 456316 485120 521504 570395 651880 679168 848960 912632 1043008 1140790 1303760 1697920 1825264 2086016 2281580 2607520 3395840 3650528 4172032 4563160 5215040 7301056 9126320 10430080 14602112 18252640 20860160 29204224 36505280 73010560 146021120