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164707840 = 295115849
BaseRepresentation
bin10011101000100…
…11111000000000
3102110221000200101
421310103320000
5314131122330
624202132144
74036664533
oct1164237000
9373830611
10164707840
1184a78490
12471b1054
132817b57b
1417c36a1a
15e6d74ca
hex9d13e00

164707840 has 80 divisors (see below), whose sum is σ = 430887600. Its totient is φ = 59883520.

The previous prime is 164707771. The next prime is 164707841. The reversal of 164707840 is 48707461.

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

It is a self number, because there is not a number n which added to its sum of digits gives 164707840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164707841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25236 + ... + 31084.

It is an arithmetic number, because the mean of its divisors is an integer number (5386095).

Almost surely, 2164707840 is an apocalyptic number.

164707840 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 164707840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215443800).

164707840 is an abundant number, since it is smaller than the sum of its proper divisors (266179760).

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

164707840 is an equidigital number, since it uses as much as digits as its factorization.

164707840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5883 (or 5867 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 37.

The square root of 164707840 is about 12833.8552274833. The cubic root of 164707840 is about 548.1567385139.

It can be divided in two parts, 16470 and 7840, that added together give a triangular number (24310 = T220).

The spelling of 164707840 in words is "one hundred sixty-four million, seven hundred seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1280 1408 1760 2560 2816 3520 5632 5849 7040 11698 14080 23396 28160 29245 46792 58490 64339 93584 116980 128678 187168 233960 257356 321695 374336 467920 514712 643390 748672 935840 1029424 1286780 1497344 1871680 2058848 2573560 2994688 3743360 4117696 5147120 7486720 8235392 10294240 14973440 16470784 20588480 32941568 41176960 82353920 164707840