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149123640 = 23353140087
BaseRepresentation
bin10001110001101…
…11001000111000
3101101121021011210
420320313020320
5301133424030
622444123120
73460346541
oct1070671070
9341537153
10149123640
11771a3886
1241b364a0
1324b83053
1415b3b4c8
15d159bb0
hex8e37238

149123640 has 64 divisors (see below), whose sum is σ = 461813760. Its totient is φ = 38482560.

The previous prime is 149123593. The next prime is 149123641. The reversal of 149123640 is 46321941.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 149123598 and 149123607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149123641) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 16324 + ... + 23763.

It is an arithmetic number, because the mean of its divisors is an integer number (7215840).

Almost surely, 2149123640 is an apocalyptic number.

149123640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149123640 is an abundant number, since it is smaller than the sum of its proper divisors (312690120).

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

149123640 is a wasteful number, since it uses less digits than its factorization.

149123640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40132 (or 40128 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 149123640 is about 12211.6190572749. The cubic root of 149123640 is about 530.2925168208.

The spelling of 149123640 in words is "one hundred forty-nine million, one hundred twenty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 40087 80174 120261 160348 200435 240522 320696 400870 481044 601305 801740 962088 1202610 1242697 1603480 2405220 2485394 3728091 4810440 4970788 6213485 7456182 9941576 12426970 14912364 18640455 24853940 29824728 37280910 49707880 74561820 149123640