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149190640 = 24517163673
BaseRepresentation
bin10001110010001…
…11011111110000
3101101201200002021
420321013133300
5301143100030
622445401224
73461046064
oct1071073760
9341650067
10149190640
117723a155
1241b69214
1324ba76b1
1415b57aa4
15d16e97a
hex8e477f0

149190640 has 80 divisors (see below), whose sum is σ = 370074528. Its totient is φ = 55738368.

The previous prime is 149190617. The next prime is 149190647. The reversal of 149190640 is 46091941.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 149190596 and 149190605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149190647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221344 + ... + 222016.

Almost surely, 2149190640 is an apocalyptic number.

149190640 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 149190640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185037264).

149190640 is an abundant number, since it is smaller than the sum of its proper divisors (220883888).

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

149190640 is a wasteful number, since it uses less digits than its factorization.

149190640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 149190640 is about 12214.3620381909. The cubic root of 149190640 is about 530.3719235889.

The spelling of 149190640 in words is "one hundred forty-nine million, one hundred ninety thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 163 170 272 326 340 652 673 680 815 1304 1346 1360 1630 2608 2692 2771 3260 3365 5384 5542 6520 6730 10768 11084 11441 13040 13460 13855 22168 22882 26920 27710 44336 45764 53840 55420 57205 91528 109699 110840 114410 183056 219398 221680 228820 438796 457640 548495 877592 915280 1096990 1755184 1864883 2193980 3729766 4387960 7459532 8775920 9324415 14919064 18648830 29838128 37297660 74595320 149190640