Search a number
-
+
149999364 = 223417113241
BaseRepresentation
bin10001111000011…
…00111100000100
3101110020202110000
420330030330010
5301344434424
622515001300
73500654634
oct1074147404
9343222400
10149999364
1177741819
1242299230
13250cb828
1415cc86c4
15d27e3c9
hex8f0cf04

149999364 has 120 divisors (see below), whose sum is σ = 420606648. Its totient is φ = 46448640.

The previous prime is 149999363. The next prime is 149999371. The reversal of 149999364 is 463999941.

149999364 is a `hidden beast` number, since 1 + 499 + 9 + 93 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17288964 + 132710400 = 4158^2 + 11520^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 149999364.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149999363) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 622284 + ... + 622524.

Almost surely, 2149999364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149999364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210303324).

149999364 is an abundant number, since it is smaller than the sum of its proper divisors (270607284).

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

149999364 is a wasteful number, since it uses less digits than its factorization.

149999364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 376 counting only the distinct ones).

The product of its digits is 1889568, while the sum is 54.

The square root of 149999364 is about 12247.4227492971. The cubic root of 149999364 is about 531.3285336449.

The spelling of 149999364 in words is "one hundred forty-nine million, nine hundred ninety-nine thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 113 153 162 204 226 241 306 324 339 452 459 482 612 678 723 918 964 1017 1356 1377 1446 1836 1921 2034 2169 2754 2892 3051 3842 4068 4097 4338 5508 5763 6102 6507 7684 8194 8676 9153 11526 12204 12291 13014 16388 17289 18306 19521 23052 24582 26028 27233 34578 36612 36873 39042 49164 51867 54466 69156 73746 78084 81699 103734 108932 110619 147492 155601 163398 207468 221238 245097 311202 326796 331857 442476 462961 490194 622404 663714 735291 925922 980388 1327428 1388883 1470582 1851844 2205873 2777766 2941164 4166649 4411746 5555532 8333298 8823492 12499947 16666596 24999894 37499841 49999788 74999682 149999364