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149207310 = 23257372173
BaseRepresentation
bin10001110010010…
…11100100001110
3101101202111221200
420321023210032
5301144113220
622450010330
73461145510
oct1071134416
9341674850
10149207310
117725072a
1241b769a6
1324bb2165
1415b5dbb0
15d174890
hex8e4b90e

149207310 has 144 divisors (see below), whose sum is σ = 458299296. Its totient is φ = 32990976.

The previous prime is 149207287. The next prime is 149207321. The reversal of 149207310 is 13702941.

149207310 is a `hidden beast` number, since 149 + 207 + 310 = 666.

It is a super-2 number, since 2×1492073102 = 44525642714872200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 862384 + ... + 862556.

It is an arithmetic number, because the mean of its divisors is an integer number (3182634).

Almost surely, 2149207310 is an apocalyptic number.

149207310 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 149207310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229149648).

149207310 is an abundant number, since it is smaller than the sum of its proper divisors (309091986).

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

149207310 is a wasteful number, since it uses less digits than its factorization.

149207310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 227 counting only the distinct ones).

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

The square root of 149207310 is about 12215.0444125267. The cubic root of 149207310 is about 530.3916767734.

The spelling of 149207310 in words is "one hundred forty-nine million, two hundred seven thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 37 42 45 63 70 74 90 105 111 126 173 185 210 222 259 315 333 346 370 518 519 555 630 666 777 865 1038 1110 1211 1295 1369 1554 1557 1665 1730 2331 2422 2590 2595 2738 3114 3330 3633 3885 4107 4662 5190 6055 6401 6845 7266 7770 7785 8214 9583 10899 11655 12110 12321 12802 13690 15570 18165 19166 19203 20535 21798 23310 24642 28749 32005 36330 38406 41070 44807 47915 54495 57498 57609 61605 64010 86247 89614 95830 96015 108990 115218 123210 134421 143745 172494 192030 224035 236837 268842 287490 288045 403263 431235 448070 473674 576090 672105 710511 806526 862470 1184185 1344210 1421022 1657859 2016315 2131533 2368370 3315718 3552555 4032630 4263066 4973577 7105110 8289295 9947154 10657665 14920731 16578590 21315330 24867885 29841462 49735770 74603655 149207310