Search a number
-
+
149561220 = 223579139227
BaseRepresentation
bin10001110101000…
…01111110000100
3101102102111102110
420322201332010
5301241424340
622501341020
73464151354
oct1072417604
9342374373
10149561220
1177472616
1242107770
1324ca7283
1415c12b64
15d1e4680
hex8ea1f84

149561220 has 96 divisors (see below), whose sum is σ = 429004800. Its totient is φ = 38922624.

The previous prime is 149561197. The next prime is 149561221. The reversal of 149561220 is 22165941.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (149561221) by changing a digit.

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, 658747 + ... + 658973.

It is an arithmetic number, because the mean of its divisors is an integer number (4468800).

Almost surely, 2149561220 is an apocalyptic number.

149561220 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 149561220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214502400).

149561220 is an abundant number, since it is smaller than the sum of its proper divisors (279443580).

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

149561220 is a wasteful number, since it uses less digits than its factorization.

149561220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 149561220 is about 12229.5224763684. The cubic root of 149561220 is about 530.8106971303.

The spelling of 149561220 in words is "one hundred forty-nine million, five hundred sixty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 139 158 227 237 278 316 395 417 454 474 556 681 695 790 834 908 948 1135 1185 1362 1390 1580 1668 2085 2270 2370 2724 2780 3405 4170 4540 4740 6810 8340 10981 13620 17933 21962 31553 32943 35866 43924 53799 54905 63106 65886 71732 89665 94659 107598 109810 126212 131772 157765 164715 179330 189318 215196 219620 268995 315530 329430 358660 378636 473295 537990 631060 658860 946590 1075980 1893180 2492687 4985374 7478061 9970748 12463435 14956122 24926870 29912244 37390305 49853740 74780610 149561220