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149073210 = 2365112132
BaseRepresentation
bin10001110001010…
…10110100111010
3101101111201000000
420320222310322
5301130320320
622443053430
73460046526
oct1070526472
9341451000
10149073210
1177169a00
1241b11276
1324b66100
1415b26d86
15d149c90
hex8e2ad3a

149073210 has 252 divisors, whose sum is σ = 478845486. Its totient is φ = 33359040.

The previous prime is 149073193. The next prime is 149073241. The reversal of 149073210 is 12370941.

149073210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 64304361 + 84768849 = 8019^2 + 9207^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 11467164 + ... + 11467176.

Almost surely, 2149073210 is an apocalyptic number.

149073210 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 149073210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239422743).

149073210 is an abundant number, since it is smaller than the sum of its proper divisors (329772276).

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

149073210 is a wasteful number, since it uses less digits than its factorization.

149073210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 149073210 is about 12209.5540459101. The cubic root of 149073210 is about 530.2327327232.

The spelling of 149073210 in words is "one hundred forty-nine million, seventy-three thousand, two hundred ten".