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64149420 = 22354189293
BaseRepresentation
bin1111010010110…
…1011110101100
311110201010110110
43310231132230
5112410240140
610210540020
71406155356
oct364553654
9143633413
1064149420
1133235455
1219597610
13103a084a
14873c0d6
155972380
hex3d2d7ac

64149420 has 96 divisors (see below), whose sum is σ = 186701760. Its totient is φ = 16445440.

The previous prime is 64149419. The next prime is 64149427. The reversal of 64149420 is 2494146.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (64149427) 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, 218794 + ... + 219086.

It is an arithmetic number, because the mean of its divisors is an integer number (1944810).

Almost surely, 264149420 is an apocalyptic number.

64149420 is a gapful number since it is divisible by the number (60) 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 64149420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93350880).

64149420 is an abundant number, since it is smaller than the sum of its proper divisors (122552340).

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

64149420 is a wasteful number, since it uses less digits than its factorization.

64149420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 64149420 is about 8009.3333055879. Note that the first 4 decimals coincide. The cubic root of 64149420 is about 400.3110497241.

The spelling of 64149420 in words is "sixty-four million, one hundred forty-nine thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 89 123 164 178 205 246 267 293 356 410 445 492 534 586 615 820 879 890 1068 1172 1230 1335 1465 1758 1780 2460 2670 2930 3516 3649 4395 5340 5860 7298 8790 10947 12013 14596 17580 18245 21894 24026 26077 36039 36490 43788 48052 52154 54735 60065 72078 72980 78231 104308 109470 120130 130385 144156 156462 180195 218940 240260 260770 312924 360390 391155 521540 720780 782310 1069157 1564620 2138314 3207471 4276628 5345785 6414942 10691570 12829884 16037355 21383140 32074710 64149420