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146028120 = 23357263661
BaseRepresentation
bin10001011010000…
…11011001011000
3101011202222220220
420231003121120
5244340344440
622253520040
73422134650
oct1055033130
9334688826
10146028120
117547a0a7
1240aa3020
132433b094
1415573360
15cc478d0
hex8b43658

146028120 has 128 divisors (see below), whose sum is σ = 503331840. Its totient is φ = 33200640.

The previous prime is 146028119. The next prime is 146028121. The reversal of 146028120 is 21820641.

It is an interprime number because it is at equal distance from previous prime (146028119) and next prime (146028121).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146028121) 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, 220590 + ... + 221250.

It is an arithmetic number, because the mean of its divisors is an integer number (3932280).

Almost surely, 2146028120 is an apocalyptic number.

146028120 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 146028120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251665920).

146028120 is an abundant number, since it is smaller than the sum of its proper divisors (357303720).

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

146028120 is a wasteful number, since it uses less digits than its factorization.

146028120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 146028120 is about 12084.2095314505. The cubic root of 146028120 is about 526.5975465202.

Adding to 146028120 its reverse (21820641), we get a palindrome (167848761).

It can be divided in two parts, 14602 and 8120, that added together give a palindrome (22722).

The spelling of 146028120 in words is "one hundred forty-six million, twenty-eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 263 280 420 526 661 789 840 1052 1315 1322 1578 1841 1983 2104 2630 2644 3156 3305 3682 3945 3966 4627 5260 5288 5523 6312 6610 7364 7890 7932 9205 9254 9915 10520 11046 13220 13881 14728 15780 15864 18410 18508 19830 22092 23135 26440 27615 27762 31560 36820 37016 39660 44184 46270 55230 55524 69405 73640 79320 92540 110460 111048 138810 173843 185080 220920 277620 347686 521529 555240 695372 869215 1043058 1216901 1390744 1738430 2086116 2433802 2607645 3476860 3650703 4172232 4867604 5215290 6084505 6953720 7301406 9735208 10430580 12169010 14602812 18253515 20861160 24338020 29205624 36507030 48676040 73014060 146028120