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149266440 = 23325414629
BaseRepresentation
bin10001110010110…
…10000000001000
3101101212112001200
420321122000020
5301203011230
622451144200
73461513061
oct1071320010
9341775050
10149266440
11772910a4
1241ba5060
1324c0304b
1415b77568
15d187160
hex8e5a008

149266440 has 48 divisors (see below), whose sum is σ = 485117100. Its totient is φ = 39804288.

The previous prime is 149266433. The next prime is 149266441. The reversal of 149266440 is 44662941.

149266440 is a `hidden beast` number, since 1 + 4 + 9 + 2 + 6 + 644 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 137030436 + 12236004 = 11706^2 + 3498^2 .

It is a super-2 number, since 2×1492664402 = 44560940220547200, which contains 22 as substring.

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 a junction number, because it is equal to n+sod(n) for n = 149266395 and 149266404.

It is not an unprimeable number, because it can be changed into a prime (149266441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 206955 + ... + 207674.

Almost surely, 2149266440 is an apocalyptic number.

149266440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149266440 is an abundant number, since it is smaller than the sum of its proper divisors (335850660).

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

149266440 is a wasteful number, since it uses less digits than its factorization.

149266440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414646 (or 414639 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 149266440 is about 12217.4645487515. The cubic root of 149266440 is about 530.4617312452.

The spelling of 149266440 in words is "one hundred forty-nine million, two hundred sixty-six thousand, four hundred forty".

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 414629 829258 1243887 1658516 2073145 2487774 3317032 3731661 4146290 4975548 6219435 7463322 8292580 9951096 12438870 14926644 16585160 18658305 24877740 29853288 37316610 49755480 74633220 149266440