Search a number
-
+
149696820 = 2232571321937
BaseRepresentation
bin10001110110000…
…11000100110100
3101102200101102200
420323003010310
5301310244240
622504304500
73465254610
oct1073030464
9342611380
10149696820
1177555489
1242172130
1325023c00
1415c4a340
15d21e930
hex8ec3134

149696820 has 432 divisors, whose sum is σ = 607501440. Its totient is φ = 29113344.

The previous prime is 149696819. The next prime is 149696821. The reversal of 149696820 is 28696941.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (149696819) and next prime (149696821).

It is a super-2 number, since 2×1496968202 = 44818275836224800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149696821) 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, 4045842 + ... + 4045878.

Almost surely, 2149696820 is an apocalyptic number.

149696820 is a gapful number since it is divisible by the number (10) 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 149696820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303750720).

149696820 is an abundant number, since it is smaller than the sum of its proper divisors (457804620).

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

149696820 is a wasteful number, since it uses less digits than its factorization.

149696820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 149696820 is about 12235.0651816817. The cubic root of 149696820 is about 530.9710688909.

The spelling of 149696820 in words is "one hundred forty-nine million, six hundred ninety-six thousand, eight hundred twenty".