Search a number
-
+
149200704 = 2634171693
BaseRepresentation
bin10001110010010…
…01111101000000
3101101202011220000
420321021331000
5301143410304
622445520000
73461120322
oct1071117500
9341664800
10149200704
1177246774
1241b73000
1324bac153
1415b5b612
15d172939
hex8e49f40

149200704 has 140 divisors (see below), whose sum is σ = 468570564. Its totient is φ = 46780416.

The previous prime is 149200699. The next prime is 149200771. The reversal of 149200704 is 407002941.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 87609600 + 61591104 = 9360^2 + 7848^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 87282 + ... + 88974.

Almost surely, 2149200704 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 149200704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234285282).

149200704 is an abundant number, since it is smaller than the sum of its proper divisors (319369860).

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

149200704 is a wasteful number, since it uses less digits than its factorization.

149200704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1734 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 149200704 is about 12214.7740052774. The cubic root of 149200704 is about 530.3838491427.

The spelling of 149200704 in words is "one hundred forty-nine million, two hundred thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 136 144 153 162 192 204 216 272 288 306 324 408 432 459 544 576 612 648 816 864 918 1088 1224 1296 1377 1632 1693 1728 1836 2448 2592 2754 3264 3386 3672 4896 5079 5184 5508 6772 7344 9792 10158 11016 13544 14688 15237 20316 22032 27088 28781 29376 30474 40632 44064 45711 54176 57562 60948 81264 86343 88128 91422 108352 115124 121896 137133 162528 172686 182844 230248 243792 259029 274266 325056 345372 365688 460496 487584 518058 548532 690744 731376 777087 920992 975168 1036116 1097064 1381488 1462752 1554174 1841984 2072232 2194128 2331261 2762976 2925504 3108348 4144464 4388256 4662522 5525952 6216696 8288928 8776512 9325044 12433392 16577856 18650088 24866784 37300176 49733568 74600352 149200704