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149747040 = 25325103991
BaseRepresentation
bin10001110110011…
…11010101100000
3101102202221022200
420323033111200
5301313401130
622505333200
73465554202
oct1073172540
9342687280
10149747040
117758a193
1242197200
1325040a21
1415c60772
15d22e760
hex8ecf560

149747040 has 72 divisors (see below), whose sum is σ = 511016688. Its totient is φ = 39932160.

The previous prime is 149747021. The next prime is 149747041. The reversal of 149747040 is 40747941.

149747040 is a `hidden beast` number, since 149 + 7 + 470 + 40 = 666.

149747040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 149746986 and 149747004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149747041) 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, 50556 + ... + 53435.

It is an arithmetic number, because the mean of its divisors is an integer number (7097454).

Almost surely, 2149747040 is an apocalyptic number.

149747040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149747040 is an abundant number, since it is smaller than the sum of its proper divisors (361269648).

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

149747040 is a wasteful number, since it uses less digits than its factorization.

149747040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104012 (or 104001 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 149747040 is about 12237.1173076015. The cubic root of 149747040 is about 531.0304386352.

The spelling of 149747040 in words is "one hundred forty-nine million, seven hundred forty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 103991 207982 311973 415964 519955 623946 831928 935919 1039910 1247892 1559865 1663856 1871838 2079820 2495784 3119730 3327712 3743676 4159640 4679595 4991568 6239460 7487352 8319280 9359190 9983136 12478920 14974704 16638560 18718380 24957840 29949408 37436760 49915680 74873520 149747040