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164075412 = 223192393011
BaseRepresentation
bin10011100011110…
…01011110010100
3102102201220011010
421301321132110
5314000403122
624140412220
74031421654
oct1161713624
9372656133
10164075412
1184686316
1246b47070
1327cb9757
1417b10364
15e60ee0c
hex9c79794

164075412 has 48 divisors (see below), whose sum is σ = 404812800. Its totient is φ = 51579360.

The previous prime is 164075407. The next prime is 164075413. The reversal of 164075412 is 214570461.

It is a self number, because there is not a number n which added to its sum of digits gives 164075412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164075413) 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, 52987 + ... + 55997.

It is an arithmetic number, because the mean of its divisors is an integer number (8433600).

Almost surely, 2164075412 is an apocalyptic number.

164075412 is a gapful number since it is divisible by the number (12) 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 164075412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202406400).

164075412 is an abundant number, since it is smaller than the sum of its proper divisors (240737388).

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

164075412 is a wasteful number, since it uses less digits than its factorization.

164075412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3276 (or 3274 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 164075412 is about 12809.1924804025. The cubic root of 164075412 is about 547.4542535952.

It can be divided in two parts, 1640754 and 12, that added together give a triangular number (1640766 = T1811).

The spelling of 164075412 in words is "one hundred sixty-four million, seventy-five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 239 478 717 956 1434 2868 3011 4541 6022 9033 9082 12044 13623 18066 18164 27246 36132 54492 57209 114418 171627 228836 343254 686508 719629 1439258 2158887 2878516 4317774 8635548 13672951 27345902 41018853 54691804 82037706 164075412