Search a number
-
+
149137780 = 22511798581
BaseRepresentation
bin10001110001110…
…10100101110100
3101101121222120111
420320322211310
5301134402110
622444312404
73460436011
oct1070724564
9341558514
10149137780
1177203470
1241b42704
1324b8960c
1415b42708
15d15de8a
hex8e3a974

149137780 has 48 divisors (see below), whose sum is σ = 346026240. Its totient is φ = 53539200.

The previous prime is 149137763. The next prime is 149137883. The reversal of 149137780 is 87731941.

149137780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 13090 + ... + 21670.

It is an arithmetic number, because the mean of its divisors is an integer number (7208880).

Almost surely, 2149137780 is an apocalyptic number.

149137780 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 149137780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173013120).

149137780 is an abundant number, since it is smaller than the sum of its proper divisors (196888460).

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

149137780 is a wasteful number, since it uses less digits than its factorization.

149137780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8680 (or 8678 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 40.

The square root of 149137780 is about 12212.1980003601. The cubic root of 149137780 is about 530.3092771842.

The spelling of 149137780 in words is "one hundred forty-nine million, one hundred thirty-seven thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 79 110 158 220 316 395 790 869 1580 1738 3476 4345 8581 8690 17162 17380 34324 42905 85810 94391 171620 188782 377564 471955 677899 943910 1355798 1887820 2711596 3389495 6778990 7456889 13557980 14913778 29827556 37284445 74568890 149137780