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149098950 = 2325271113331
BaseRepresentation
bin10001110001100…
…01000111000110
3101101120000022100
420320301013012
5301132131300
622443412530
73460214550
oct1070610706
9341500270
10149098950
1177187280
1241b24146
1324b74a40
1415b324d0
15d152700
hex8e311c6

149098950 has 288 divisors, whose sum is σ = 539465472. Its totient is φ = 28512000.

The previous prime is 149098913. The next prime is 149098951. The reversal of 149098950 is 59890941.

It is a super-3 number, since 3×1490989503 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 149098896 and 149098905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149098951) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 450285 + ... + 450615.

It is an arithmetic number, because the mean of its divisors is an integer number (1873144).

Almost surely, 2149098950 is an apocalyptic number.

149098950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 149098950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269732736).

149098950 is an abundant number, since it is smaller than the sum of its proper divisors (390366522).

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

149098950 is a wasteful number, since it uses less digits than its factorization.

149098950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 149098950 is about 12210.6080929657. The cubic root of 149098950 is about 530.2632488369.

The spelling of 149098950 in words is "one hundred forty-nine million, ninety-eight thousand, nine hundred fifty".