Search a number
-
+
149699682 = 2321129331
BaseRepresentation
bin10001110110000…
…11110001100010
3101102200112100200
420323003301202
5301310342212
622504330030
73465266136
oct1073036142
9342615320
10149699682
1177557650
1242173916
13250252c2
1415c4b3c6
15d2206dc
hex8ec3c62

149699682 has 96 divisors (see below), whose sum is σ = 378293760. Its totient is φ = 42386400.

The previous prime is 149699681. The next prime is 149699687. The reversal of 149699682 is 286996941.

149699682 is a `hidden beast` number, since 1 + 496 + 99 + 68 + 2 = 666.

It is a super-2 number, since 2×1496996822 = 44819989581802248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149699681) 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 47 ways as a sum of consecutive naturals, for example, 4829007 + ... + 4829037.

It is an arithmetic number, because the mean of its divisors is an integer number (3940560).

Almost surely, 2149699682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149699682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189146880).

149699682 is an abundant number, since it is smaller than the sum of its proper divisors (228594078).

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

149699682 is a wasteful number, since it uses less digits than its factorization.

149699682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 76 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 149699682 is about 12235.1821400419. The cubic root of 149699682 is about 530.9744526847.

The spelling of 149699682 in words is "one hundred forty-nine million, six hundred ninety-nine thousand, six hundred eighty-two".

Divisors: 1 2 3 6 9 11 18 22 29 31 33 58 62 66 87 93 99 174 186 198 261 279 319 341 522 558 638 682 841 899 957 1023 1682 1798 1914 2046 2523 2697 2871 3069 5046 5394 5742 6138 7569 8091 9251 9889 15138 16182 18502 19778 24389 26071 27753 29667 48778 52142 55506 59334 73167 78213 83259 89001 146334 156426 166518 178002 219501 234639 268279 286781 439002 469278 536558 573562 756059 804837 860343 1512118 1609674 1720686 2268177 2414511 2581029 4536354 4829022 5162058 6804531 8316649 13609062 16633298 24949947 49899894 74849841 149699682