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149769 = 34432
BaseRepresentation
bin100100100100001001
321121110000
4210210021
514243034
63113213
71162434
oct444411
9247400
10149769
11a2584
1272809
1353229
143c81b
152e599
hex24909

149769 has 15 divisors (see below), whose sum is σ = 229053. Its totient is φ = 97524.

The previous prime is 149767. The next prime is 149771. The reversal of 149769 is 967941.

149769 = T386 + T387.

The square root of 149769 is 387.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (149767) and next prime (149771).

It is not a de Polignac number, because 149769 - 21 = 149767 is a prime.

It is a super-2 number, since 2×1497692 = 44861506722, which contains 22 as substring.

It is a Curzon number.

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (149767) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3462 + ... + 3504.

2149769 is an apocalyptic number.

149769 is the 387-th square number.

149769 is the 194-th centered octagonal number.

It is an amenable number.

149769 is a deficient number, since it is larger than the sum of its proper divisors (79284).

149769 is an frugal number, since it uses more digits than its factorization.

149769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 46 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The cubic root of 149769 is about 53.1056395427.

Multiplying 149769 by its sum of digits (36), we get a square (5391684 = 23222).

Subtracting from 149769 its product of digits (13608), we obtain a square (136161 = 3692).

It can be divided in two parts, 1 and 49769, that added together give a triangular number (49770 = T315).

The spelling of 149769 in words is "one hundred forty-nine thousand, seven hundred sixty-nine".

Divisors: 1 3 9 27 43 81 129 387 1161 1849 3483 5547 16641 49923 149769