Search a number
-
+
149492736 = 210335407
BaseRepresentation
bin10001110100100…
…01010000000000
3101102022000111000
420322101100000
5301232231421
622500052000
73463444611
oct1072212000
9342260430
10149492736
1177426118
1242094000
1324c82053
1415bd5c08
15d1ce226
hex8e91400

149492736 has 88 divisors (see below), whose sum is σ = 442807040. Its totient is φ = 49821696.

The previous prime is 149492723. The next prime is 149492753. The reversal of 149492736 is 637294941.

It is a happy number.

149492736 is a `hidden beast` number, since 1 + 494 + 92 + 73 + 6 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 149492691 and 149492700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24945 + ... + 30351.

Almost surely, 2149492736 is an apocalyptic number.

149492736 is a gapful number since it is divisible by the number (16) 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 149492736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221403520).

149492736 is an abundant number, since it is smaller than the sum of its proper divisors (293314304).

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

149492736 is an equidigital number, since it uses as much as digits as its factorization.

149492736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5436 (or 5412 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 149492736 is about 12226.7222099793. The cubic root of 149492736 is about 530.7296654527.

The spelling of 149492736 in words is "one hundred forty-nine million, four hundred ninety-two thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2304 3072 3456 4608 5407 6912 9216 10814 13824 16221 21628 27648 32442 43256 48663 64884 86512 97326 129768 145989 173024 194652 259536 291978 346048 389304 519072 583956 692096 778608 1038144 1167912 1384192 1557216 2076288 2335824 2768384 3114432 4152576 4671648 5536768 6228864 8305152 9343296 12457728 16610304 18686592 24915456 37373184 49830912 74746368 149492736