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149642280 = 23325415673
BaseRepresentation
bin10001110101101…
…01110000101000
3101102120121121200
420322311300220
5301302023110
622503204200
73464636604
oct1072656050
9342517550
10149642280
1177518507
1242146660
1325005138
1415c34504
15d20d6c0
hex8eb5c28

149642280 has 48 divisors (see below), whose sum is σ = 486338580. Its totient is φ = 39904512.

The previous prime is 149642263. The next prime is 149642287. The reversal of 149642280 is 82246941.

149642280 is a `hidden beast` number, since 1 + 4 + 9 + 642 + 2 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 132848676 + 16793604 = 11526^2 + 4098^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (149642287) 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 11 ways as a sum of consecutive naturals, for example, 207477 + ... + 208196.

Almost surely, 2149642280 is an apocalyptic number.

149642280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149642280 is an abundant number, since it is smaller than the sum of its proper divisors (336696300).

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

149642280 is a wasteful number, since it uses less digits than its factorization.

149642280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415690 (or 415683 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 149642280 is about 12232.8361388519. The cubic root of 149642280 is about 530.9065770294.

The spelling of 149642280 in words is "one hundred forty-nine million, six hundred forty-two thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 415673 831346 1247019 1662692 2078365 2494038 3325384 3741057 4156730 4988076 6235095 7482114 8313460 9976152 12470190 14964228 16626920 18705285 24940380 29928456 37410570 49880760 74821140 149642280