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149116240 = 24571320483
BaseRepresentation
bin10001110001101…
…01010101010000
3101101120220000201
420320311111100
5301133204430
622444024544
73460316140
oct1070652520
9341526021
10149116240
1177199269
1241b32154
1324b7c880
1415b38920
15d1578ca
hex8e35550

149116240 has 80 divisors (see below), whose sum is σ = 426722688. Its totient is φ = 47190528.

The previous prime is 149116229. The next prime is 149116249. The reversal of 149116240 is 42611941.

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 (28).

It is a junction number, because it is equal to n+sod(n) for n = 149116199 and 149116208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149116249) 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, 2962 + ... + 17521.

Almost surely, 2149116240 is an apocalyptic number.

149116240 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 149116240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213361344).

149116240 is an abundant number, since it is smaller than the sum of its proper divisors (277606448).

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

149116240 is a wasteful number, since it uses less digits than its factorization.

149116240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20516 (or 20510 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 149116240 is about 12211.3160633897. The cubic root of 149116240 is about 530.2837450626.

The spelling of 149116240 in words is "one hundred forty-nine million, one hundred sixteen thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 3640 7280 20483 40966 81932 102415 143381 163864 204830 266279 286762 327728 409660 532558 573524 716905 819320 1065116 1147048 1331395 1433810 1638640 1863953 2130232 2294096 2662790 2867620 3727906 4260464 5325580 5735240 7455812 9319765 10651160 11470480 14911624 18639530 21302320 29823248 37279060 74558120 149116240