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149745240 = 23335612273
BaseRepresentation
bin10001110110011…
…10111001011000
3101102202211212000
420323032321120
5301313321430
622505321000
73465546021
oct1073167130
9342684760
10149745240
11775888a7
1242196160
132503cc68
1415c5dc48
15d22de60
hex8ecee58

149745240 has 128 divisors (see below), whose sum is σ = 507556800. Its totient is φ = 39260160.

The previous prime is 149745217. The next prime is 149745257. The reversal of 149745240 is 42547941.

It is a happy number.

149745240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 149745195 and 149745204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64744 + ... + 67016.

Almost surely, 2149745240 is an apocalyptic number.

149745240 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 149745240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253778400).

149745240 is an abundant number, since it is smaller than the sum of its proper divisors (357811560).

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

149745240 is a wasteful number, since it uses less digits than its factorization.

149745240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2354 (or 2344 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 149745240 is about 12237.0437606474. The cubic root of 149745240 is about 531.0283109167.

The spelling of 149745240 in words is "one hundred forty-nine million, seven hundred forty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 61 72 90 108 120 122 135 180 183 216 244 270 305 360 366 488 540 549 610 732 915 1080 1098 1220 1464 1647 1830 2196 2273 2440 2745 3294 3660 4392 4546 5490 6588 6819 7320 8235 9092 10980 11365 13176 13638 16470 18184 20457 21960 22730 27276 32940 34095 40914 45460 54552 61371 65880 68190 81828 90920 102285 122742 136380 138653 163656 204570 245484 272760 277306 306855 409140 415959 490968 554612 613710 693265 818280 831918 1109224 1227420 1247877 1386530 1663836 2079795 2454840 2495754 2773060 3327672 3743631 4159590 4991508 5546120 6239385 7487262 8319180 9983016 12478770 14974524 16638360 18718155 24957540 29949048 37436310 49915080 74872620 149745240