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149750240 = 2552340693
BaseRepresentation
bin10001110110100…
…00000111100000
3101102210002201012
420323100013200
5301314001430
622505400052
73465566423
oct1073200740
9342702635
10149750240
1177591632
1242199028
1325042313
1415c619ba
15d230695
hex8ed01e0

149750240 has 48 divisors (see below), whose sum is σ = 369175968. Its totient is φ = 57294336.

The previous prime is 149750233. The next prime is 149750257. The reversal of 149750240 is 42057941.

149750240 = T283 + T284 + ... + T972.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 149750197 and 149750206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16667 + ... + 24026.

It is an arithmetic number, because the mean of its divisors is an integer number (7691166).

Almost surely, 2149750240 is an apocalyptic number.

149750240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149750240 is an abundant number, since it is smaller than the sum of its proper divisors (219425728).

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

149750240 is a wasteful number, since it uses less digits than its factorization.

149750240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40731 (or 40723 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 149750240 is about 12237.2480566506. The cubic root of 149750240 is about 531.0342212037.

The spelling of 149750240 in words is "one hundred forty-nine million, seven hundred fifty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 736 920 1840 3680 40693 81386 162772 203465 325544 406930 651088 813860 935939 1302176 1627720 1871878 3255440 3743756 4679695 6510880 7487512 9359390 14975024 18718780 29950048 37437560 74875120 149750240