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146114780 = 225731131257
BaseRepresentation
bin10001011010110…
…00100011011100
3101011221101210112
420231120203130
5244401133110
622255425152
73422645420
oct1055304334
9334841715
10146114780
1175529219
1240b251b8
132436b666
1415596b80
15cc63405
hex8b588dc

146114780 has 96 divisors (see below), whose sum is σ = 366170112. Its totient is φ = 47923200.

The previous prime is 146114753. The next prime is 146114821. The reversal of 146114780 is 87411641.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 568412 + ... + 568668.

It is an arithmetic number, because the mean of its divisors is an integer number (3814272).

Almost surely, 2146114780 is an apocalyptic number.

146114780 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 146114780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183085056).

146114780 is an abundant number, since it is smaller than the sum of its proper divisors (220055332).

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

146114780 is a wasteful number, since it uses less digits than its factorization.

146114780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 146114780 is about 12087.7946706585. The cubic root of 146114780 is about 526.7016952258.

It can be divided in two parts, 14611 and 4780, that added together give a palindrome (19391).

The spelling of 146114780 in words is "one hundred forty-six million, one hundred fourteen thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 131 140 155 217 257 262 310 434 514 524 620 655 868 917 1028 1085 1285 1310 1799 1834 2170 2570 2620 3598 3668 4061 4340 4585 5140 7196 7967 8122 8995 9170 15934 16244 17990 18340 20305 28427 31868 33667 35980 39835 40610 55769 56854 67334 79670 81220 111538 113708 134668 142135 159340 168335 223076 235669 278845 284270 336670 471338 557690 568540 673340 942676 1043677 1115380 1178345 2087354 2356690 4174708 4713380 5218385 7305739 10436770 14611478 20873540 29222956 36528695 73057390 146114780