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149958720 = 2632552069
BaseRepresentation
bin10001111000000…
…11000001000000
3101110011200200200
420330003001000
5301342134340
622514045200
73500425302
oct1074030100
9343150620
10149958720
117771422a
1242279800
13250b6192
1415cb7972
15d272330
hex8f03040

149958720 has 84 divisors (see below), whose sum is σ = 515805420. Its totient is φ = 39988224.

The previous prime is 149958719. The next prime is 149958727. The reversal of 149958720 is 27859941.

149958720 is a `hidden beast` number, since 1 + 49 + 9 + 587 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 97772544 + 52186176 = 9888^2 + 7224^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (149958727) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23155 + ... + 28914.

Almost surely, 2149958720 is an apocalyptic number.

149958720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149958720 is an abundant number, since it is smaller than the sum of its proper divisors (365846700).

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

149958720 is a wasteful number, since it uses less digits than its factorization.

149958720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52092 (or 52079 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 149958720 is about 12245.7633490118. The cubic root of 149958720 is about 531.2805395131.

The spelling of 149958720 in words is "one hundred forty-nine million, nine hundred fifty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 52069 104138 156207 208276 260345 312414 416552 468621 520690 624828 781035 833104 937242 1041380 1249656 1562070 1666208 1874484 2082760 2343105 2499312 3124140 3332416 3748968 4165520 4686210 4998624 6248280 7497936 8331040 9372420 9997248 12496560 14995872 16662080 18744840 24993120 29991744 37489680 49986240 74979360 149958720