Search a number
-
+
149590740 = 223513191783
BaseRepresentation
bin10001110101010…
…01001011010100
3101102110222220210
420322221023110
5301243400430
622502125420
73464333415
oct1072511324
9342428823
10149590740
1177492812
1242120870
1324cb7840
1415c1d80c
15d1ed2b0
hex8ea92d4

149590740 has 48 divisors (see below), whose sum is σ = 451075968. Its totient is φ = 36822144.

The previous prime is 149590733. The next prime is 149590747. The reversal of 149590740 is 47095941.

It is an interprime number because it is at equal distance from previous prime (149590733) and next prime (149590747).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149590747) 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 15 ways as a sum of consecutive naturals, for example, 95112 + ... + 96671.

It is an arithmetic number, because the mean of its divisors is an integer number (9397416).

Almost surely, 2149590740 is an apocalyptic number.

149590740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149590740 is an abundant number, since it is smaller than the sum of its proper divisors (301485228).

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

149590740 is a wasteful number, since it uses less digits than its factorization.

149590740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191808 (or 191806 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 149590740 is about 12230.7293323007. The cubic root of 149590740 is about 530.8456181724.

It can be divided in two parts, 1495 and 90740, that added together give a triangular number (92235 = T429).

The spelling of 149590740 in words is "one hundred forty-nine million, five hundred ninety thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 191783 383566 575349 767132 958915 1150698 1917830 2301396 2493179 2876745 3835660 4986358 5753490 7479537 9972716 11506980 12465895 14959074 24931790 29918148 37397685 49863580 74795370 149590740