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74130012 = 223311232713
BaseRepresentation
bin1000110101100…
…10001001011100
312011111012021000
410122302021130
5122434130022
611204510300
71560044325
oct432621134
9164435230
1074130012
1138931a80
12209ab390
1312486618
149bb944c
1567946ac
hex46b225c

74130012 has 96 divisors (see below), whose sum is σ = 218856960. Its totient is φ = 21479040.

The previous prime is 74130011. The next prime is 74130029. The reversal of 74130012 is 21003147.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74130011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25968 + ... + 28680.

It is an arithmetic number, because the mean of its divisors is an integer number (2279760).

Almost surely, 274130012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74130012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109428480).

74130012 is an abundant number, since it is smaller than the sum of its proper divisors (144726948).

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

74130012 is a wasteful number, since it uses less digits than its factorization.

74130012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2760 (or 2752 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 74130012 is about 8609.8787447908. The cubic root of 74130012 is about 420.0793727541.

Adding to 74130012 its reverse (21003147), we get a palindrome (95133159).

The spelling of 74130012 in words is "seventy-four million, one hundred thirty thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 27 33 36 44 46 54 66 69 92 99 108 132 138 198 207 253 276 297 396 414 506 594 621 759 828 1012 1188 1242 1518 2277 2484 2713 3036 4554 5426 6831 8139 9108 10852 13662 16278 24417 27324 29843 32556 48834 59686 62399 73251 89529 97668 119372 124798 146502 179058 187197 249596 268587 293004 358116 374394 537174 561591 686389 748788 805761 1074348 1123182 1372778 1611522 1684773 2059167 2246364 2745556 3223044 3369546 4118334 6177501 6739092 8236668 12355002 18532503 24710004 37065006 74130012