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164064420 = 223351323371
BaseRepresentation
bin10011100011101…
…10110010100100
3102102201100002000
421301312302210
5314000030140
624140245300
74031344632
oct1161666244
9372640060
10164064420
1184679033
1246b40830
1327cb4750
1417b0a352
15e60ba30
hex9c76ca4

164064420 has 96 divisors (see below), whose sum is σ = 549709440. Its totient is φ = 40383360.

The previous prime is 164064413. The next prime is 164064437. The reversal of 164064420 is 24460461.

164064420 is a `hidden beast` number, since 16 + 4 + 0 + 644 + 2 + 0 = 666.

164064420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4666 + ... + 18705.

It is an arithmetic number, because the mean of its divisors is an integer number (5726140).

Almost surely, 2164064420 is an apocalyptic number.

164064420 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 164064420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274854720).

164064420 is an abundant number, since it is smaller than the sum of its proper divisors (385645020).

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

164064420 is a wasteful number, since it uses less digits than its factorization.

164064420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23402 (or 23394 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 164064420 is about 12808.7634063558. The cubic root of 164064420 is about 547.4420280146.

The spelling of 164064420 in words is "one hundred sixty-four million, sixty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 7020 23371 46742 70113 93484 116855 140226 210339 233710 280452 303823 350565 420678 467420 607646 631017 701130 841356 911469 1051695 1215292 1262034 1402260 1519115 1822938 2103390 2524068 2734407 3038230 3155085 3645876 4206780 4557345 5468814 6076460 6310170 8203221 9114690 10937628 12620340 13672035 16406442 18229380 27344070 32812884 41016105 54688140 82032210 164064420