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149704040 = 235171911587
BaseRepresentation
bin10001110110001…
…00110101101000
3101102200202100002
420323010311220
5301311012130
622504402132
73465314633
oct1073046550
9342622302
10149704040
117755a952
1242176348
1325027295
1415c4cc1a
15d221b45
hex8ec4d68

149704040 has 64 divisors (see below), whose sum is σ = 375451200. Its totient is φ = 53388288.

The previous prime is 149704001. The next prime is 149704067. The reversal of 149704040 is 40407941.

It is a super-2 number, since 2×1497040402 = 44822599184643200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 149703994 and 149704012.

It is an unprimeable number.

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, 7127 + ... + 18713.

It is an arithmetic number, because the mean of its divisors is an integer number (5866425).

Almost surely, 2149704040 is an apocalyptic number.

149704040 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 149704040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187725600).

149704040 is an abundant number, since it is smaller than the sum of its proper divisors (225747160).

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

149704040 is a wasteful number, since it uses less digits than its factorization.

149704040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11634 (or 11630 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 149704040 is about 12235.3602317218. The cubic root of 149704040 is about 530.9796051433.

The spelling of 149704040 in words is "one hundred forty-nine million, seven hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 17 19 20 34 38 40 68 76 85 95 136 152 170 190 323 340 380 646 680 760 1292 1615 2584 3230 6460 11587 12920 23174 46348 57935 92696 115870 196979 220153 231740 393958 440306 463480 787916 880612 984895 1100765 1575832 1761224 1969790 2201530 3742601 3939580 4403060 7485202 7879160 8806120 14970404 18713005 29940808 37426010 74852020 149704040