Search a number
-
+
74164020 = 22357296089
BaseRepresentation
bin1000110101110…
…10011100110100
312011112220220120
410122322130310
5122441222040
611205331540
71560245430
oct432723464
9164486816
1074164020
1138955587
1220a06bb0
1312498c48
149bc79c0
15679e7d0
hex46ba734

74164020 has 96 divisors (see below), whose sum is σ = 245548800. Its totient is φ = 16364544.

The previous prime is 74164019. The next prime is 74164061. The reversal of 74164020 is 2046147.

It is a congruent number.

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, 9136 + ... + 15224.

It is an arithmetic number, because the mean of its divisors is an integer number (2557800).

Almost surely, 274164020 is an apocalyptic number.

74164020 is a gapful number since it is divisible by the number (70) 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 74164020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122774400).

74164020 is an abundant number, since it is smaller than the sum of its proper divisors (171384780).

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

74164020 is a wasteful number, since it uses less digits than its factorization.

74164020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6137 (or 6135 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 74164020 is about 8611.8534590412. The cubic root of 74164020 is about 420.1436016894.

The spelling of 74164020 in words is "seventy-four million, one hundred sixty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 29 30 35 42 58 60 70 84 87 105 116 140 145 174 203 210 290 348 406 420 435 580 609 812 870 1015 1218 1740 2030 2436 3045 4060 6089 6090 12178 12180 18267 24356 30445 36534 42623 60890 73068 85246 91335 121780 127869 170492 176581 182670 213115 255738 353162 365340 426230 511476 529743 639345 706324 852460 882905 1059486 1236067 1278690 1765810 2118972 2472134 2557380 2648715 3531620 3708201 4944268 5297430 6180335 7416402 10594860 12360670 14832804 18541005 24721340 37082010 74164020