Search a number
-
+
146805560 = 235111093061
BaseRepresentation
bin10001100000000…
…01001100111000
3101020020111100222
420300001030320
5300040234220
622322315212
73431553356
oct1060011470
9336214328
10146805560
1175960210
12411b8b08
1324550bc5
14156d67d6
15cd4ce25
hex8c01338

146805560 has 64 divisors (see below), whose sum is σ = 363765600. Its totient is φ = 52876800.

The previous prime is 146805559. The next prime is 146805587. The reversal of 146805560 is 65508641.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 146805560.

It is a congruent number.

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, 46430 + ... + 49490.

Almost surely, 2146805560 is an apocalyptic number.

146805560 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 146805560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181882800).

146805560 is an abundant number, since it is smaller than the sum of its proper divisors (216960040).

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

146805560 is a wasteful number, since it uses less digits than its factorization.

146805560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3192 (or 3188 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 146805560 is about 12116.3344291910. The cubic root of 146805560 is about 527.5304116096.

The spelling of 146805560 in words is "one hundred forty-six million, eight hundred five thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 109 110 218 220 436 440 545 872 1090 1199 2180 2398 3061 4360 4796 5995 6122 9592 11990 12244 15305 23980 24488 30610 33671 47960 61220 67342 122440 134684 168355 269368 333649 336710 667298 673420 1334596 1346840 1668245 2669192 3336490 3670139 6672980 7340278 13345960 14680556 18350695 29361112 36701390 73402780 146805560