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209149640 = 23572176277
BaseRepresentation
bin11000111011101…
…01111011001000
3112120112220100222
430131311323020
5412020242030
632430445212
75116512500
oct1435657310
9476486328
10209149640
11a8072247
125a063808
133443baab
141dac4a00
15135653e5
hexc775ec8

209149640 has 96 divisors (see below), whose sum is σ = 579710520. Its totient is φ = 67479552.

The previous prime is 209149621. The next prime is 209149667. The reversal of 209149640 is 46941902.

It can be written as a sum of positive squares in 4 ways, for example, as 209149444 + 196 = 14462^2 + 14^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 209149640.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30182 + ... + 36458.

Almost surely, 2209149640 is an apocalyptic number.

209149640 is a gapful number since it is divisible by the number (20) 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 209149640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289855260).

209149640 is an abundant number, since it is smaller than the sum of its proper divisors (370560880).

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

209149640 is a wasteful number, since it uses less digits than its factorization.

209149640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6319 (or 6308 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 209149640 is about 14462.0067763779. The cubic root of 209149640 is about 593.5888125339.

The spelling of 209149640 in words is "two hundred nine million, one hundred forty-nine thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 49 56 68 70 85 98 119 136 140 170 196 238 245 280 340 392 476 490 595 680 833 952 980 1190 1666 1960 2380 3332 4165 4760 6277 6664 8330 12554 16660 25108 31385 33320 43939 50216 62770 87878 106709 125540 175756 213418 219695 251080 307573 351512 426836 439390 533545 615146 746963 853672 878780 1067090 1230292 1493926 1537865 1757560 2134180 2460584 2987852 3075730 3734815 4268360 5228741 5975704 6151460 7469630 10457482 12302920 14939260 20914964 26143705 29878520 41829928 52287410 104574820 209149640